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113837976 = 23327241787
BaseRepresentation
bin1101100100100…
…00011110011000
321221012120100100
412302100132120
5213120303401
615143535400
72551415100
oct662203630
9257176310
10113837976
115929317a
123215a560
131a77a265
1411194200
159ed9b86
hex6c90798

113837976 has 144 divisors (see below), whose sum is σ = 367862040. Its totient is φ = 31691520.

The previous prime is 113837953. The next prime is 113837981. The reversal of 113837976 is 679738311.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144255 + ... + 145041.

Almost surely, 2113837976 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 113837976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183931020).

113837976 is an abundant number, since it is smaller than the sum of its proper divisors (254024064).

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

113837976 is a wasteful number, since it uses less digits than its factorization.

113837976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 840 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 113837976 is about 10669.4880851895. The cubic root of 113837976 is about 484.6509352837.

The spelling of 113837976 in words is "one hundred thirteen million, eight hundred thirty-seven thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 41 42 49 56 63 72 82 84 98 123 126 147 164 168 196 246 252 287 294 328 369 392 441 492 504 574 588 738 787 861 882 984 1148 1176 1476 1574 1722 1764 2009 2296 2361 2583 2952 3148 3444 3528 4018 4722 5166 5509 6027 6296 6888 7083 8036 9444 10332 11018 12054 14166 16072 16527 18081 18888 20664 22036 24108 28332 32267 33054 36162 38563 44072 48216 49581 56664 64534 66108 72324 77126 96801 99162 115689 129068 132216 144648 154252 193602 198324 225869 231378 258136 290403 308504 347067 387204 396648 451738 462756 580806 677607 694134 774408 903476 925512 1161612 1355214 1388268 1581083 1806952 2032821 2323224 2710428 2776536 3162166 4065642 4743249 5420856 6324332 8131284 9486498 12648664 14229747 16262568 18972996 28459494 37945992 56918988 113837976