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113362620 = 22357436277
BaseRepresentation
bin1101100000111…
…00011010111100
321220022102021120
412300130122330
5213010100440
615125430540
72544365160
oct660343274
9256272246
10113362620
1158a99018
1231b6b450
131a641a97
14110acca0
159e43dd0
hex6c1c6bc

113362620 has 96 divisors (see below), whose sum is σ = 371255808. Its totient is φ = 25304832.

The previous prime is 113362609. The next prime is 113362621. The reversal of 113362620 is 26263311.

It is a happy number.

It is a super-2 number, since 2×1133626202 = 25702167226528800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113362621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14922 + ... + 21198.

It is an arithmetic number, because the mean of its divisors is an integer number (3867248).

Almost surely, 2113362620 is an apocalyptic number.

113362620 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 113362620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185627904).

113362620 is an abundant number, since it is smaller than the sum of its proper divisors (257893188).

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

113362620 is a wasteful number, since it uses less digits than its factorization.

113362620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6339 (or 6337 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 113362620 is about 10647.1883612529. The cubic root of 113362620 is about 483.9754045740.

The spelling of 113362620 in words is "one hundred thirteen million, three hundred sixty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 60 70 84 86 105 129 140 172 210 215 258 301 420 430 516 602 645 860 903 1204 1290 1505 1806 2580 3010 3612 4515 6020 6277 9030 12554 18060 18831 25108 31385 37662 43939 62770 75324 87878 94155 125540 131817 175756 188310 219695 263634 269911 376620 439390 527268 539822 659085 809733 878780 1079644 1318170 1349555 1619466 1889377 2636340 2699110 3238932 3778754 4048665 5398220 5668131 7557508 8097330 9446885 11336262 16194660 18893770 22672524 28340655 37787540 56681310 113362620