190 (number)

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← 189 190 191 →
Cardinal one hundred ninety
Ordinal 190th
(one hundred ninetieth)
Factorization 2 × 5 × 19
Greek numeral ΡϞ´
Roman numeral CXC
Binary 101111102
Ternary 210013
Senary 5146
Octal 2768
Duodecimal 13A12
Hexadecimal BE16

190 (one hundred [and] ninety) is the natural number following 189 and preceding 191.

Contents

In mathematics

190 is a triangular number, a hexagonal number, and a centered nonagonal number, the fourth figurate number (after 1, 28, and 91) with that combination of properties. [1] It is also a truncated square pyramid number. [2]

Integers from 191 to 199

191
191 is a prime number.
192
192 = 26 × 3 is a 3-smooth number, the smallest number with 14 divisors.
193
193 is a prime number.
194
194 = 2 × 97 is a Markov number, the smallest number written as the sum of three squares in five ways, and the number of irreducible representations of the Monster group.
195
195 = 3 × 5 × 13 is the smallest number expressed as a sum of distinct squares in 16 different ways.
196
196 = 22 × 72 is a square number.
197
197 is a prime number and a Schröder–Hipparchus number.
198
198 = 2 × 32 × 11 is the smallest number written as the sum of four squares in ten ways.
No integer factorial ever ends in exactly 198 zeroes in base 10 or in base 12. [3] [4]
There are 198 ridges on a U.S. dollar coin. [5]
199
199 is a prime number and a centered triangular number.

In other fields

See also

Related Research Articles

10 (ten) is the even natural number following 9 and preceding 11. Ten is the base of the decimal numeral system, the most common system of denoting numbers in both spoken and written language.

19 (nineteen) is the natural number following 18 and preceding 20. It is a prime number.

91 (ninety-one) is the natural number following 90 and preceding 92.

220 is the natural number following 219 and preceding 221.

1000 or one thousand is the natural number following 999 and preceding 1001. In most English-speaking countries, it can be written with or without a comma or sometimes a period separating the thousands digit: 1,000.

300 is the natural number following 299 and preceding 301.

500 is the natural number following 499 and preceding 501.

700 is the natural number following 699 and preceding 701.

600 is the natural number following 599 and preceding 601.

800 is the natural number following 799 and preceding 801.

900 is the natural number following 899 and preceding 901. It is the square of 30 and the sum of Euler's totient function for the first 54 positive integers. In base 10 it is a Harshad number. It is also the first number to be the square of a sphenic number.

2000 is a natural number following 1999 and preceding 2001.

3000 is the natural number following 2999 and preceding 3001. It is the smallest number requiring thirteen letters in English.

4000 is the natural number following 3999 and preceding 4001. It is a decagonal number.

6000 is the natural number following 5999 and preceding 6001.

100,000 (one hundred thousand) is the natural number following 99,999 and preceding 100,001. In scientific notation, it is written as 105.

199 is the natural number following 198 and preceding 200.

204 is the natural number following 203 and preceding 205.

30,000 is the natural number that comes after 29,999 and before 30,001.

40,000 is the natural number that comes after 39,999 and before 40,001. It is the square of 200.

References

  1. ↑ Sloane, N. J. A. (ed.), "SequenceA272399(The intersection of hexagonal numbers (A000384) and centered 9-gonal numbers (A060544))", The On-Line Encyclopedia of Integer Sequences , OEIS Foundation
  2. ↑ Sloane, N. J. A. (ed.), "SequenceA050409(Truncated square pyramid numbers: a(n) = Sum_{k = n..2*n} k^2)", The On-Line Encyclopedia of Integer Sequences , OEIS Foundation
  3. ↑ "A000966 - OEIS". oeis.org. Retrieved 2022-08-24.
  4. ↑ "A136772 - OEIS". oeis.org. Retrieved 2022-08-24.
  5. ↑ "Why Do Coins Have Ridges? | Mental Floss". 2022-08-18. Archived from the original on 2022-08-18. Retrieved 2022-08-24.
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