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113788872 = 233219223373
BaseRepresentation
bin1101100100001…
…00011111001000
321221010001222200
412302010133020
5213112220442
615142520200
72551121661
oct662043710
9257101880
10113788872
115925a29a
1232136060
131a760ac2
1411180368
159eca34c
hex6c847c8

113788872 has 96 divisors (see below), whose sum is σ = 326726400. Its totient is φ = 35676288.

The previous prime is 113788859. The next prime is 113788897. The reversal of 113788872 is 278887311.

It is a super-3 number, since 3×1137888723 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304878 + ... + 305250.

It is an arithmetic number, because the mean of its divisors is an integer number (3403400).

Almost surely, 2113788872 is an apocalyptic number.

113788872 is a gapful number since it is divisible by the number (12) 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 113788872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163363200).

113788872 is an abundant number, since it is smaller than the sum of its proper divisors (212937528).

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

113788872 is a wasteful number, since it uses less digits than its factorization.

113788872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 620 counting only the distinct ones).

The product of its digits is 150528, while the sum is 45.

The square root of 113788872 is about 10667.1866956569. The cubic root of 113788872 is about 484.5812405504.

It can be divided in two parts, 1137 and 88872, that added together give a palindrome (90009).

The spelling of 113788872 in words is "one hundred thirteen million, seven hundred eighty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 223 228 342 373 446 456 669 684 746 892 1119 1338 1368 1492 1784 2007 2238 2676 2984 3357 4014 4237 4476 5352 6714 7087 8028 8474 8952 12711 13428 14174 16056 16948 21261 25422 26856 28348 33896 38133 42522 50844 56696 63783 76266 83179 85044 101688 127566 152532 166358 170088 249537 255132 305064 332716 499074 510264 665432 748611 998148 1497222 1580401 1996296 2994444 3160802 4741203 5988888 6321604 9482406 12643208 14223609 18964812 28447218 37929624 56894436 113788872