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113213856 = 2537198867
BaseRepresentation
bin1101011111110…
…00000110100000
321220000212012210
412233320012200
5212440320411
615122322120
72543205360
oct657700640
9256025183
10113213856
11589a7278
1231ab9340
131a5bc162
14110709a0
159e14ca6
hex6bf81a0

113213856 has 96 divisors (see below), whose sum is σ = 357557760. Its totient is φ = 30640896.

The previous prime is 113213851. The next prime is 113213869. The reversal of 113213856 is 658312311.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (113213851) 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 15 ways as a sum of consecutive naturals, for example, 8335 + ... + 17201.

It is an arithmetic number, because the mean of its divisors is an integer number (3724560).

Almost surely, 2113213856 is an apocalyptic number.

113213856 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 113213856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178778880).

113213856 is an abundant number, since it is smaller than the sum of its proper divisors (244343904).

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

113213856 is a wasteful number, since it uses less digits than its factorization.

113213856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8906 (or 8898 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 113213856 is about 10640.1999981203. The cubic root of 113213856 is about 483.7636074399.

The spelling of 113213856 in words is "one hundred thirteen million, two hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 6384 8867 12768 17734 26601 35468 53202 62069 70936 106404 124138 141872 168473 186207 212808 248276 283744 336946 372414 425616 496552 505419 673892 744828 851232 993104 1010838 1179311 1347784 1489656 1986208 2021676 2358622 2695568 2979312 3537933 4043352 4717244 5391136 5958624 7075866 8086704 9434488 14151732 16173408 18868976 28303464 37737952 56606928 113213856