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135715032 = 23328921179
BaseRepresentation
bin10000001011011…
…01100011011000
3100110101001000200
420011231203120
5234220340112
621244502200
73235362435
oct1005554330
9313331020
10135715032
116a675792
123954a960
1322169b6b
141404ab8c
15bdabcdc
hex816d8d8

135715032 has 48 divisors (see below), whose sum is σ = 371709000. Its totient is φ = 44727936.

The previous prime is 135715007. The next prime is 135715049. The reversal of 135715032 is 230517531.

135715032 is a `hidden beast` number, since 13 + 571 + 50 + 32 = 666.

It is a super-2 number, since 2×1357150322 = 36837139821522048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135714987 and 135715005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4182 + ... + 16997.

Almost surely, 2135715032 is an apocalyptic number.

135715032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135715032 is an abundant number, since it is smaller than the sum of its proper divisors (235993968).

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

135715032 is a wasteful number, since it uses less digits than its factorization.

135715032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21280 (or 21273 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 135715032 is about 11649.6794805694. The cubic root of 135715032 is about 513.8968841380.

The spelling of 135715032 in words is "one hundred thirty-five million, seven hundred fifteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2136 3204 6408 21179 42358 63537 84716 127074 169432 190611 254148 381222 508296 762444 1524888 1884931 3769862 5654793 7539724 11309586 15079448 16964379 22619172 33928758 45238344 67857516 135715032