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113163264 = 210334093
BaseRepresentation
bin1101011111010…
…11110000000000
321212221021211000
412233223300000
5212432211024
615121252000
72542605024
oct657536000
9255837730
10113163264
1158972265
1231a94000
131a5a2116
141105a384
159e04cc9
hex6bebc00

113163264 has 88 divisors (see below), whose sum is σ = 335216720. Its totient is φ = 37711872.

The previous prime is 113163257. The next prime is 113163269. The reversal of 113163264 is 462361311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113163269) 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 7 ways as a sum of consecutive naturals, for example, 25602 + ... + 29694.

Almost surely, 2113163264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113163264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167608360).

113163264 is an abundant number, since it is smaller than the sum of its proper divisors (222053456).

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

113163264 is an equidigital number, since it uses as much as digits as its factorization.

113163264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122 (or 4098 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 113163264 is about 10637.8223335418. The cubic root of 113163264 is about 483.6915367122.

The spelling of 113163264 in words is "one hundred thirteen million, one hundred sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 4093 4608 6912 8186 9216 12279 13824 16372 24558 27648 32744 36837 49116 65488 73674 98232 110511 130976 147348 196464 221022 261952 294696 392928 442044 523904 589392 785856 884088 1047808 1178784 1571712 1768176 2095616 2357568 3143424 3536352 4191232 4715136 6286848 7072704 9430272 12573696 14145408 18860544 28290816 37721088 56581632 113163264