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113465144 = 231347139167
BaseRepresentation
bin1101100001101…
…01011100111000
321220111121220202
412300311130320
5213021341034
615131541332
72545303112
oct660653470
9256447822
10113465144
1159059051
1231bba848
131a679650
14110d83b2
159e6447e
hex6c35738

113465144 has 64 divisors (see below), whose sum is σ = 237081600. Its totient is φ = 50580864.

The previous prime is 113465111. The next prime is 113465153. The reversal of 113465144 is 441564311.

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, 679349 + ... + 679515.

It is an arithmetic number, because the mean of its divisors is an integer number (3704400).

Almost surely, 2113465144 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 113465144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118540800).

113465144 is an abundant number, since it is smaller than the sum of its proper divisors (123616456).

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

113465144 is a wasteful number, since it uses less digits than its factorization.

113465144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 368 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 113465144 is about 10652.0018775815. The cubic root of 113465144 is about 484.1212614227.

The spelling of 113465144 in words is "one hundred thirteen million, four hundred sixty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 47 52 94 104 139 167 188 278 334 376 556 611 668 1112 1222 1336 1807 2171 2444 3614 4342 4888 6533 7228 7849 8684 13066 14456 15698 17368 23213 26132 31396 46426 52264 62792 84929 92852 102037 169858 185704 204074 301769 339716 408148 603538 679432 816296 1091011 1207076 2182022 2414152 4364044 8728088 14183143 28366286 56732572 113465144