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113410656 = 25321392833
BaseRepresentation
bin1101100001010…
…00001001100000
321220101212011200
412300220021200
5213013120111
615130441200
72544655212
oct660501140
9256355150
10113410656
1159021117
1231b93200
131a65a8c8
14110c25b2
159e53256
hex6c28260

113410656 has 72 divisors (see below), whose sum is σ = 324946440. Its totient is φ = 37518336.

The previous prime is 113410637. The next prime is 113410663. The reversal of 113410656 is 656014311.

113410656 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 1 + 0 + 656 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38616 + ... + 41448.

It is an arithmetic number, because the mean of its divisors is an integer number (4513145).

Almost surely, 2113410656 is an apocalyptic number.

113410656 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 113410656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162473220).

113410656 is an abundant number, since it is smaller than the sum of its proper divisors (211535784).

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

113410656 is a wasteful number, since it uses less digits than its factorization.

113410656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 113410656 is about 10649.4439291448. The cubic root of 113410656 is about 484.0437544398.

Adding to 113410656 its reverse (656014311), we get a palindrome (769424967).

The spelling of 113410656 in words is "one hundred thirteen million, four hundred ten thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 139 144 278 288 417 556 834 1112 1251 1668 2224 2502 2833 3336 4448 5004 5666 6672 8499 10008 11332 13344 16998 20016 22664 25497 33996 40032 45328 50994 67992 90656 101988 135984 203976 271968 393787 407952 787574 815904 1181361 1575148 2362722 3150296 3544083 4725444 6300592 7088166 9450888 12601184 14176332 18901776 28352664 37803552 56705328 113410656