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136406256 = 24372913999
BaseRepresentation
bin10000010000101…
…10010011110000
3100111200011012120
420020112103300
5234410000011
621311354240
73244301610
oct1010262360
9314604176
10136406256
116aaa8048
1239822980
132234c67c
141418aa40
15be96a06
hex82164f0

136406256 has 80 divisors (see below), whose sum is σ = 416640000. Its totient is φ = 37626624.

The previous prime is 136406243. The next prime is 136406297. The reversal of 136406256 is 652604631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2745 + ... + 16743.

It is an arithmetic number, because the mean of its divisors is an integer number (5208000).

Almost surely, 2136406256 is an apocalyptic number.

136406256 is a gapful number since it is divisible by the number (16) 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 136406256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208320000).

136406256 is an abundant number, since it is smaller than the sum of its proper divisors (280233744).

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

136406256 is a wasteful number, since it uses less digits than its factorization.

136406256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14046 (or 14040 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 136406256 is about 11679.3088836626. The cubic root of 136406256 is about 514.7678672312.

The spelling of 136406256 in words is "one hundred thirty-six million, four hundred six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1218 1392 1624 2436 3248 4872 9744 13999 27998 41997 55996 83994 97993 111992 167988 195986 223984 293979 335976 391972 405971 587958 671952 783944 811942 1175916 1217913 1567888 1623884 2351832 2435826 2841797 3247768 4703664 4871652 5683594 6495536 8525391 9743304 11367188 17050782 19486608 22734376 34101564 45468752 68203128 136406256