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137973984 = 2531437229
BaseRepresentation
bin10000011100101…
…01000011100000
3100121121210201120
420032111003200
5240310131414
621405132240
73263521341
oct1016250340
9317553646
10137973984
1170978995
123a25a080
132277b115
14144780c8
15c1a62a9
hex83950e0

137973984 has 24 divisors (see below), whose sum is σ = 362181960. Its totient is φ = 45991296.

The previous prime is 137973973. The next prime is 137974013. The reversal of 137973984 is 489379731.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 718519 + ... + 718710.

It is an arithmetic number, because the mean of its divisors is an integer number (15090915).

Almost surely, 2137973984 is an apocalyptic number.

It is an amenable number.

137973984 is an abundant number, since it is smaller than the sum of its proper divisors (224207976).

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

137973984 is a wasteful number, since it uses less digits than its factorization.

137973984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437242 (or 1437234 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 51.

The square root of 137973984 is about 11746.2327577824. The cubic root of 137973984 is about 516.7324493880.

The spelling of 137973984 in words is "one hundred thirty-seven million, nine hundred seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1437229 2874458 4311687 5748916 8623374 11497832 17246748 22995664 34493496 45991328 68986992 137973984