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137937966 = 2317279549
BaseRepresentation
bin10000011100011…
…00010000101110
3100121112222022120
420032030100232
5240303003331
621404253410
73263311335
oct1016142056
9317488276
10137937966
1170953921
123a241266
13227678ca
1414468d1c
15c19a796
hex838c42e

137937966 has 24 divisors (see below), whose sum is σ = 293062200. Its totient is φ = 43274112.

The previous prime is 137937913. The next prime is 137937971. The reversal of 137937966 is 669739731.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

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, 38041 + ... + 41508.

It is an arithmetic number, because the mean of its divisors is an integer number (12210925).

Almost surely, 2137937966 is an apocalyptic number.

137937966 is an abundant number, since it is smaller than the sum of its proper divisors (155124234).

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

137937966 is a wasteful number, since it uses less digits than its factorization.

137937966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79588 (or 79571 counting only the distinct ones).

The product of its digits is 1285956, while the sum is 51.

The square root of 137937966 is about 11744.6994852997. The cubic root of 137937966 is about 516.6874812750.

The spelling of 137937966 in words is "one hundred thirty-seven million, nine hundred thirty-seven thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 17 34 51 102 289 578 867 1734 79549 159098 238647 477294 1352333 2704666 4056999 8113998 22989661 45979322 68968983 137937966