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113053640 = 2357735531
BaseRepresentation
bin1101011110100…
…00111111001000
321212201201102212
412233100333020
5212420204030
615115044252
72541640310
oct657207710
9255651385
10113053640
11588a7967
1231a40688
131a56425b
141102c440
159dd2595
hex6bd0fc8

113053640 has 64 divisors (see below), whose sum is σ = 294744960. Its totient is φ = 38223360.

The previous prime is 113053639. The next prime is 113053649. The reversal of 113053640 is 46350311.

It is a happy number.

It is a super-2 number, since 2×1130536402 = 25562251034499200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113053649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17675 + ... + 23205.

It is an arithmetic number, because the mean of its divisors is an integer number (4605390).

Almost surely, 2113053640 is an apocalyptic number.

113053640 is a gapful number since it is divisible by the number (10) 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 113053640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147372480).

113053640 is an abundant number, since it is smaller than the sum of its proper divisors (181691320).

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

113053640 is a wasteful number, since it uses less digits than its factorization.

113053640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5622 (or 5618 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 113053640 is about 10632.6685267622. The cubic root of 113053640 is about 483.5352983408.

The spelling of 113053640 in words is "one hundred thirteen million, fifty-three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 140 146 280 292 365 511 584 730 1022 1460 2044 2555 2920 4088 5110 5531 10220 11062 20440 22124 27655 38717 44248 55310 77434 110620 154868 193585 221240 309736 387170 403763 774340 807526 1548680 1615052 2018815 2826341 3230104 4037630 5652682 8075260 11305364 14131705 16150520 22610728 28263410 56526820 113053640