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137406924 = 223214292671
BaseRepresentation
bin10000011000010…
…10100111001100
3100120112222212100
420030022213030
5240134010144
621345035100
73255640164
oct1014124714
9316488770
10137406924
1170620946
123a025a90
132260cc95
141436b5a4
15c0e3269
hex830a9cc

137406924 has 36 divisors (see below), whose sum is σ = 347707360. Its totient is φ = 45753120.

The previous prime is 137406923. The next prime is 137406931. The reversal of 137406924 is 429604731.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (137406923) 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 11 ways as a sum of consecutive naturals, for example, 50109 + ... + 52779.

Almost surely, 2137406924 is an apocalyptic number.

It is an amenable number.

137406924 is an abundant number, since it is smaller than the sum of its proper divisors (210300436).

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

137406924 is a wasteful number, since it uses less digits than its factorization.

137406924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 137406924 is about 11722.0699537240. The cubic root of 137406924 is about 516.0235702231.

It can be divided in two parts, 1 and 37406924, that added together give a triangular number (37406925 = T8649).

The spelling of 137406924 in words is "one hundred thirty-seven million, four hundred six thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1429 2671 2858 4287 5342 5716 8013 8574 10684 12861 16026 17148 24039 25722 32052 48078 51444 96156 3816859 7633718 11450577 15267436 22901154 34351731 45802308 68703462 137406924