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113730264 = 23331812909
BaseRepresentation
bin1101100011101…
…10001011011000
321221000002121000
412301312023120
5213103332024
615141345000
72550456054
oct661661330
9257002530
10113730264
115921a25a
1232108160
131a74021b
1411166c64
159eb7cc9
hex6c762d8

113730264 has 64 divisors (see below), whose sum is σ = 317772000. Its totient is φ = 37687680.

The previous prime is 113730263. The next prime is 113730283. The reversal of 113730264 is 462037311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113730263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37642 + ... + 40550.

Almost surely, 2113730264 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 113730264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158886000).

113730264 is an abundant number, since it is smaller than the sum of its proper divisors (204041736).

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

113730264 is a wasteful number, since it uses less digits than its factorization.

113730264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 113730264 is about 10664.4392257634. The cubic root of 113730264 is about 484.4980302616.

Adding to 113730264 its reverse (462037311), we get a palindrome (575767575).

The spelling of 113730264 in words is "one hundred thirteen million, seven hundred thirty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 181 216 362 543 724 1086 1448 1629 2172 2909 3258 4344 4887 5818 6516 8727 9774 11636 13032 17454 19548 23272 26181 34908 39096 52362 69816 78543 104724 157086 209448 314172 526529 628344 1053058 1579587 2106116 3159174 4212232 4738761 6318348 9477522 12636696 14216283 18955044 28432566 37910088 56865132 113730264