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113076288 = 26321315101
BaseRepresentation
bin1101011110101…
…10100001000000
321212202212111200
412233112201000
5212421420123
615115341200
72542063323
oct657264100
9255685450
10113076288
1158912986
1231a51800
131a571660
14110367ba
159dd9143
hex6bd6840

113076288 has 84 divisors (see below), whose sum is σ = 349067628. Its totient is φ = 34790400.

The previous prime is 113076281. The next prime is 113076289. The reversal of 113076288 is 882670311.

It can be written as a sum of positive squares in 2 ways, for example, as 15303744 + 97772544 = 3912^2 + 9888^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (113076281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63 + ... + 15038.

It is an arithmetic number, because the mean of its divisors is an integer number (4155567).

Almost surely, 2113076288 is an apocalyptic number.

113076288 is a gapful number since it is divisible by the number (18) 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 113076288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174533814).

113076288 is an abundant number, since it is smaller than the sum of its proper divisors (235991340).

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

113076288 is a wasteful number, since it uses less digits than its factorization.

113076288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15132 (or 15119 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 113076288 is about 10633.7334929929. The cubic root of 113076288 is about 483.5675850095.

The spelling of 113076288 in words is "one hundred thirteen million, seventy-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 15101 30202 45303 60404 90606 120808 135909 181212 196313 241616 271818 362424 392626 483232 543636 588939 724848 785252 966464 1087272 1177878 1449696 1570504 1766817 2174544 2355756 2899392 3141008 3533634 4349088 4711512 6282016 7067268 8698176 9423024 12564032 14134536 18846048 28269072 37692096 56538144 113076288