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135363792 = 24317165887
BaseRepresentation
bin10000001000101…
…11110011010000
3100102201012012210
420010113303100
5234123120132
621233152120
73232400424
oct1004276320
9312635183
10135363792
116a455903
12393bb640
1322076025
1413d98b84
15bd3cbcc
hex8117cd0

135363792 has 40 divisors (see below), whose sum is σ = 370262016. Its totient is φ = 42466816.

The previous prime is 135363773. The next prime is 135363803. The reversal of 135363792 is 297363531.

It is a self number, because there is not a number n which added to its sum of digits gives 135363792.

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 7 ways as a sum of consecutive naturals, for example, 82128 + ... + 83759.

Almost surely, 2135363792 is an apocalyptic number.

135363792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135363792 is an abundant number, since it is smaller than the sum of its proper divisors (234898224).

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

135363792 is a wasteful number, since it uses less digits than its factorization.

135363792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165915 (or 165909 counting only the distinct ones).

The product of its digits is 102060, while the sum is 39.

The square root of 135363792 is about 11634.5946212148. The cubic root of 135363792 is about 513.4531674283.

The spelling of 135363792 in words is "one hundred thirty-five million, three hundred sixty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 165887 331774 497661 663548 995322 1327096 1990644 2654192 2820079 3981288 5640158 7962576 8460237 11280316 16920474 22560632 33840948 45121264 67681896 135363792