Search a number
-
+
137450032 = 24173116301
BaseRepresentation
bin10000011000101…
…01001000110000
3100120122011222221
420030111020300
5240141400112
621350010424
73256206646
oct1014251060
9316564887
10137450032
1170650275
123a046a14
13226267a5
141437d196
15c100e07
hex8315230

137450032 has 40 divisors (see below), whose sum is σ = 291088512. Its totient is φ = 62592000.

The previous prime is 137450029. The next prime is 137450039. The reversal of 137450032 is 230054731.

It is a super-2 number, since 2×1374500322 = 37785022593602048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 137449979 and 137450006.

It is not an unprimeable number, because it can be changed into a prime (137450039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282 + ... + 16582.

Almost surely, 2137450032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137450032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145544256).

137450032 is an abundant number, since it is smaller than the sum of its proper divisors (153638480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137450032 is a wasteful number, since it uses less digits than its factorization.

137450032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16357 (or 16351 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 137450032 is about 11723.9085632736. The cubic root of 137450032 is about 516.0775277617.

The spelling of 137450032 in words is "one hundred thirty-seven million, four hundred fifty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 496 527 1054 2108 4216 8432 16301 32602 65204 130408 260816 277117 505331 554234 1010662 1108468 2021324 2216936 4042648 4433872 8085296 8590627 17181254 34362508 68725016 137450032