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135913932 = 223271149031
BaseRepresentation
bin10000001100111…
…10000111001100
3100110202010212100
420012132013030
5234243221212
621253035100
73240151350
oct1006360714
9313663770
10135913932
116a7a1170
1239625a90
132220955b
141409d460
15bdeabdc
hex819e1cc

135913932 has 72 divisors (see below), whose sum is σ = 428343552. Its totient is φ = 35301600.

The previous prime is 135913931. The next prime is 135913949. The reversal of 135913932 is 239319531.

135913932 is a `hidden beast` number, since 1 + 3 + 591 + 39 + 32 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (135913931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21744 + ... + 27287.

It is an arithmetic number, because the mean of its divisors is an integer number (5949216).

Almost surely, 2135913932 is an apocalyptic number.

135913932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135913932 is an abundant number, since it is smaller than the sum of its proper divisors (292429620).

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

135913932 is a wasteful number, since it uses less digits than its factorization.

135913932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49059 (or 49054 counting only the distinct ones).

The product of its digits is 21870, while the sum is 36.

The square root of 135913932 is about 11658.2130706211. The cubic root of 135913932 is about 514.1478123645.

The spelling of 135913932 in words is "one hundred thirty-five million, nine hundred thirteen thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 49031 98062 147093 196124 294186 343217 441279 539341 588372 686434 882558 1029651 1078682 1372868 1618023 1765116 2059302 2157364 3088953 3236046 3775387 4118604 4854069 6177906 6472092 7550774 9708138 11326161 12355812 15101548 19416276 22652322 33978483 45304644 67956966 135913932