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137431470 = 23511416459
BaseRepresentation
bin10000011000100…
…00100110101110
3100120121020112110
420030100212232
5240140301340
621345344450
73256101561
oct1014204656
9316536473
10137431470
1170638330
123a038126
132261b1c7
14143764d8
15c0ea680
hex83109ae

137431470 has 32 divisors (see below), whose sum is σ = 359821440. Its totient is φ = 33316640.

The previous prime is 137431433. The next prime is 137431471. The reversal of 137431470 is 74134731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137431471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207900 + ... + 208559.

It is an arithmetic number, because the mean of its divisors is an integer number (11244420).

Almost surely, 2137431470 is an apocalyptic number.

137431470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137431470 is an abundant number, since it is smaller than the sum of its proper divisors (222389970).

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

137431470 is a wasteful number, since it uses less digits than its factorization.

137431470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416480.

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 137431470 is about 11723.1169063522. The cubic root of 137431470 is about 516.0542954104.

The spelling of 137431470 in words is "one hundred thirty-seven million, four hundred thirty-one thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 416459 832918 1249377 2082295 2498754 4164590 4581049 6246885 9162098 12493770 13743147 22905245 27486294 45810490 68715735 137431470