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113260120 = 23517193863
BaseRepresentation
bin1101100000000…
…11011001011000
321220010012200021
412300003121120
5212443310440
615123320224
72543460301
oct660033130
9256105607
10113260120
1158a29006
1231b20074
131a60722c
14110837a8
159e2384a
hex6c03658

113260120 has 64 divisors (see below), whose sum is σ = 271537920. Its totient is φ = 42369024.

The previous prime is 113260097. The next prime is 113260127. The reversal of 113260120 is 21062311.

It is a junction number, because it is equal to n+sod(n) for n = 113260094 and 113260103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113260127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130809 + ... + 131671.

It is an arithmetic number, because the mean of its divisors is an integer number (4242780).

Almost surely, 2113260120 is an apocalyptic number.

113260120 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 113260120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135768960).

113260120 is an abundant number, since it is smaller than the sum of its proper divisors (158277800).

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

113260120 is a wasteful number, since it uses less digits than its factorization.

113260120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 113260120 is about 10642.3737953522. The cubic root of 113260120 is about 483.8294939325.

The spelling of 113260120 in words is "one hundred thirteen million, two hundred sixty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 193 340 386 680 772 863 965 1544 1726 1930 3281 3452 3860 4315 6562 6904 7720 8630 13124 14671 16405 17260 26248 29342 32810 34520 58684 65620 73355 117368 131240 146710 166559 293420 333118 586840 666236 832795 1332472 1665590 2831503 3331180 5663006 6662360 11326012 14157515 22652024 28315030 56630060 113260120