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113260560 = 2435729631
BaseRepresentation
bin1101100000000…
…11100000010000
321220010020021120
412300003200100
5212443314220
615123322240
72543461500
oct660034020
9256106246
10113260560
1158a29376
1231b20380
131a6074aa
1411083a00
159e23a40
hex6c03810

113260560 has 120 divisors (see below), whose sum is σ = 408473856. Its totient is φ = 25885440.

The previous prime is 113260559. The next prime is 113260561. The reversal of 113260560 is 65062311.

It is an interprime number because it is at equal distance from previous prime (113260559) and next prime (113260561).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 113260560.

It is not an unprimeable number, because it can be changed into a prime (113260561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6945 + ... + 16575.

Almost surely, 2113260560 is an apocalyptic number.

113260560 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 113260560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204236928).

113260560 is an abundant number, since it is smaller than the sum of its proper divisors (295213296).

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

113260560 is a wasteful number, since it uses less digits than its factorization.

113260560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9661 (or 9648 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 113260560 is about 10642.3944674119. The cubic root of 113260560 is about 483.8301204687.

The spelling of 113260560 in words is "one hundred thirteen million, two hundred sixty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 9631 11760 19262 28893 38524 48155 57786 67417 77048 96310 115572 134834 144465 154096 192620 202251 231144 269668 288930 337085 385240 404502 462288 471919 539336 577860 674170 770480 809004 943838 1011255 1078672 1155720 1348340 1415757 1618008 1887676 2022510 2311440 2359595 2696680 2831514 3236016 3775352 4045020 4719190 5393360 5663028 7078785 7550704 8090040 9438380 11326056 14157570 16180080 18876760 22652112 28315140 37753520 56630280 113260560