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135392432 = 2477431627
BaseRepresentation
bin10000001000111…
…10110010110000
3100102202122111112
420010132302300
5234130024212
621233532452
73232550060
oct1004366260
9312678445
10135392432
116a47537a
1239414128
1322086086
1413da53a0
15bd46422
hex811ecb0

135392432 has 40 divisors (see below), whose sum is σ = 300385536. Its totient is φ = 57911616.

The previous prime is 135392401. The next prime is 135392441. The reversal of 135392432 is 234293531.

It is a super-3 number, since 3×1353924323 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 82403 + ... + 84029.

Almost surely, 2135392432 is an apocalyptic number.

It is an amenable number.

135392432 is an abundant number, since it is smaller than the sum of its proper divisors (164993104).

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

135392432 is a wasteful number, since it uses less digits than its factorization.

135392432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2379 counting only the distinct ones).

The product of its digits is 19440, while the sum is 32.

The square root of 135392432 is about 11635.8253682324. The cubic root of 135392432 is about 513.4893766723.

The spelling of 135392432 in words is "one hundred thirty-five million, three hundred ninety-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 743 1486 1627 2972 3254 5201 5944 6508 10402 11389 11888 13016 20804 22778 26032 41608 45556 83216 91112 182224 1208861 2417722 4835444 8462027 9670888 16924054 19341776 33848108 67696216 135392432