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113881856 = 2811371093
BaseRepresentation
bin1101100100110…
…11001100000000
321221021210112112
412302123030000
5213123204411
615144514452
72551660034
oct662331400
9257253475
10113881856
1159313140
123217ba28
131a79421a
14111a61c4
159ee7b8b
hex6c9b300

113881856 has 72 divisors (see below), whose sum is σ = 254919504. Its totient is φ = 50319360.

The previous prime is 113881751. The next prime is 113881871. The reversal of 113881856 is 658188311.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 103646 + ... + 104738.

Almost surely, 2113881856 is an apocalyptic number.

113881856 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 113881856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127459752).

113881856 is an abundant number, since it is smaller than the sum of its proper divisors (141037648).

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

113881856 is a wasteful number, since it uses less digits than its factorization.

113881856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1143 counting only the distinct ones).

The product of its digits is 46080, while the sum is 41.

The square root of 113881856 is about 10671.5442181532. The cubic root of 113881856 is about 484.7131984871.

The spelling of 113881856 in words is "one hundred thirteen million, eight hundred eighty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 256 296 352 407 592 704 814 1093 1184 1408 1628 2186 2368 2816 3256 4372 4736 6512 8744 9472 12023 13024 17488 24046 26048 34976 40441 48092 52096 69952 80882 96184 104192 139904 161764 192368 279808 323528 384736 444851 647056 769472 889702 1294112 1538944 1779404 2588224 3077888 3558808 5176448 7117616 10352896 14235232 28470464 56940928 113881856