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113263460 = 2253127183
BaseRepresentation
bin1101100000001…
…00001101100100
321220010101020222
412300010031210
5212443412320
615123343512
72543503112
oct660041544
9256111228
10113263460
1158a30572
1231b21b98
131a6088cb
1411084ab2
159e24825
hex6c04364

113263460 has 72 divisors (see below), whose sum is σ = 252237888. Its totient is φ = 42705600.

The previous prime is 113263457. The next prime is 113263471. The reversal of 113263460 is 64362311.

It is a super-2 number, since 2×1132634602 = 25657222742343200, which contains 22 as substring.

It is a congruent number.

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, 1364579 + ... + 1364661.

It is an arithmetic number, because the mean of its divisors is an integer number (3503304).

Almost surely, 2113263460 is an apocalyptic number.

113263460 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 113263460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126118944).

113263460 is an abundant number, since it is smaller than the sum of its proper divisors (138974428).

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

113263460 is a wasteful number, since it uses less digits than its factorization.

113263460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 113263460 is about 10642.5307140736. The cubic root of 113263460 is about 483.8342498714.

The spelling of 113263460 in words is "one hundred thirteen million, two hundred sixty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 71 83 124 142 155 166 284 310 332 355 415 620 710 830 961 1420 1660 1922 2201 2573 3844 4402 4805 5146 5893 8804 9610 10292 11005 11786 12865 19220 22010 23572 25730 29465 44020 51460 58930 68231 79763 117860 136462 159526 182683 272924 319052 341155 365366 398815 682310 730732 797630 913415 1364620 1595260 1826830 3653660 5663173 11326346 22652692 28315865 56631730 113263460