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136031952 = 2437616637
BaseRepresentation
bin10000001101110…
…10111011010000
3100110222010202110
420012322323100
5234311010302
621255345320
73241152420
oct1006727320
9313863673
10136031952
116a871901
1239682240
132224b1a4
14140d0480
15be20b6c
hex81baed0

136031952 has 80 divisors (see below), whose sum is σ = 408263552. Its totient is φ = 38223360.

The previous prime is 136031947. The next prime is 136031957. The reversal of 136031952 is 259130631.

It is an interprime number because it is at equal distance from previous prime (136031947) and next prime (136031957).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136031957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17178 + ... + 23814.

Almost surely, 2136031952 is an apocalyptic number.

136031952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136031952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204131776).

136031952 is an abundant number, since it is smaller than the sum of its proper divisors (272231600).

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

136031952 is a wasteful number, since it uses less digits than its factorization.

136031952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6716 (or 6710 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 136031952 is about 11663.2736399349. The cubic root of 136031952 is about 514.2965883062.

The spelling of 136031952 in words is "one hundred thirty-six million, thirty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 244 336 366 427 488 732 854 976 1281 1464 1708 2562 2928 3416 5124 6637 6832 10248 13274 19911 20496 26548 39822 46459 53096 79644 92918 106192 139377 159288 185836 278754 318576 371672 404857 557508 743344 809714 1115016 1214571 1619428 2230032 2429142 2833999 3238856 4858284 5667998 6477712 8501997 9716568 11335996 17003994 19433136 22671992 34007988 45343984 68015976 136031952