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113513664 = 2631171757
BaseRepresentation
bin1101100010000…
…01010011000000
321220121002110210
412301001103000
5213024414124
615132554120
72545564425
oct661012300
9256532423
10113513664
1159091550
1232022940
131a695764
141110bd4c
159e73a29
hex6c414c0

113513664 has 112 divisors (see below), whose sum is σ = 332695296. Its totient is φ = 33868800.

The previous prime is 113513663. The next prime is 113513681. The reversal of 113513664 is 466315311.

It is not an unprimeable number, because it can be changed into a prime (113513663) 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, 149574 + ... + 150330.

Almost surely, 2113513664 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 113513664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166347648).

113513664 is an abundant number, since it is smaller than the sum of its proper divisors (219181632).

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

113513664 is a wasteful number, since it uses less digits than its factorization.

113513664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 844 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 113513664 is about 10654.2791403267. The cubic root of 113513664 is about 484.1902582834.

Adding to 113513664 its reverse (466315311), we get a palindrome (579828975).

The spelling of 113513664 in words is "one hundred thirteen million, five hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 71 88 96 132 142 176 192 213 264 284 352 426 528 568 704 757 781 852 1056 1136 1514 1562 1704 2112 2271 2272 2343 3028 3124 3408 4542 4544 4686 6056 6248 6816 8327 9084 9372 12112 12496 13632 16654 18168 18744 24224 24981 24992 33308 36336 37488 48448 49962 49984 53747 66616 72672 74976 99924 107494 133232 145344 149952 161241 199848 214988 266464 322482 399696 429976 532928 591217 644964 799392 859952 1182434 1289928 1598784 1719904 1773651 2364868 2579856 3439808 3547302 4729736 5159712 7094604 9459472 10319424 14189208 18918944 28378416 37837888 56756832 113513664