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135863424 = 2732117937
BaseRepresentation
bin10000001100100…
…01110010000000
3100110122120120200
420012101302000
5234240112144
621252005200
73236551164
oct1006216200
9313576520
10135863424
116a767224
1239600800
13221bc578
1414088ca4
15bddac69
hex8191c80

135863424 has 48 divisors (see below), whose sum is σ = 390964470. Its totient is φ = 45287424.

The previous prime is 135863423. The next prime is 135863437. The reversal of 135863424 is 424368531.

135863424 is a `hidden beast` number, since 13 + 5 + 8 + 634 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 95413824 + 40449600 = 9768^2 + 6360^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 (135863423) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57817 + ... + 60120.

Almost surely, 2135863424 is an apocalyptic number.

It is an amenable number.

135863424 is an abundant number, since it is smaller than the sum of its proper divisors (255101046).

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

135863424 is a wasteful number, since it uses less digits than its factorization.

135863424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117957 (or 117942 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 135863424 is about 11656.0466711488. The cubic root of 135863424 is about 514.0841156932.

The spelling of 135863424 in words is "one hundred thirty-five million, eight hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 117937 235874 353811 471748 707622 943496 1061433 1415244 1886992 2122866 2830488 3773984 4245732 5660976 7547968 8491464 11321952 15095936 16982928 22643904 33965856 45287808 67931712 135863424