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113906856 = 23372341719
BaseRepresentation
bin1101100101000…
…01010010101000
321221100001211110
412302201102220
5213130004411
615145230320
72552122650
oct662412250
9257301743
10113906856
115932a9a8
12321923a0
131a7a270b
14111b1360
15a0002a6
hex6ca14a8

113906856 has 128 divisors (see below), whose sum is σ = 348364800. Its totient is φ = 30328320.

The previous prime is 113906827. The next prime is 113906887. The reversal of 113906856 is 658609311.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158065 + ... + 158783.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2113906856 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 113906856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

113906856 is an abundant number, since it is smaller than the sum of its proper divisors (234457944).

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

113906856 is a wasteful number, since it uses less digits than its factorization.

113906856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 113906856 is about 10672.7154932566. The cubic root of 113906856 is about 484.7486649017.

The spelling of 113906856 in words is "one hundred thirteen million, nine hundred six thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 41 42 46 56 69 82 84 92 123 138 161 164 168 184 246 276 287 322 328 483 492 552 574 644 719 861 943 966 984 1148 1288 1438 1722 1886 1932 2157 2296 2829 2876 3444 3772 3864 4314 5033 5658 5752 6601 6888 7544 8628 10066 11316 13202 15099 16537 17256 19803 20132 22632 26404 29479 30198 33074 39606 40264 49611 52808 58958 60396 66148 79212 88437 99222 115759 117916 120792 132296 158424 176874 198444 206353 231518 235832 347277 353748 396888 412706 463036 619059 678017 694554 707496 825412 926072 1238118 1356034 1389108 1650824 2034051 2476236 2712068 2778216 4068102 4746119 4952472 5424136 8136204 9492238 14238357 16272408 18984476 28476714 37968952 56953428 113906856