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137800832 = 271382813
BaseRepresentation
bin10000011011010…
…10110010000000
3100121022000012112
420031222302000
5240234111312
621401314452
73262200461
oct1015526200
9317260175
10137800832
117086a894
123a195a28
132271a370
1414430d68
15c16ed22
hex836ac80

137800832 has 32 divisors (see below), whose sum is σ = 295645980. Its totient is φ = 63599616.

The previous prime is 137800829. The next prime is 137800849. The reversal of 137800832 is 238008731.

It can be written as a sum of positive squares in 2 ways, for example, as 136983616 + 817216 = 11704^2 + 904^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 39743 + ... + 43070.

Almost surely, 2137800832 is an apocalyptic number.

It is an amenable number.

137800832 is an abundant number, since it is smaller than the sum of its proper divisors (157845148).

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

137800832 is an equidigital number, since it uses as much as digits as its factorization.

137800832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82840 (or 82828 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 137800832 is about 11738.8599105705. The cubic root of 137800832 is about 516.5161991716.

The spelling of 137800832 in words is "one hundred thirty-seven million, eight hundred thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 82813 165626 331252 662504 1076569 1325008 2153138 2650016 4306276 5300032 8612552 10600064 17225104 34450208 68900416 137800832