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113576040 = 233351031021
BaseRepresentation
bin1101100010100…
…00100001101000
321220201021001000
412301100201220
5213033413130
615134155000
72546244324
oct661204150
9256637030
10113576040
11591243a6
1232052a60
131a6b7c76
1411126984
159e87260
hex6c50868

113576040 has 128 divisors (see below), whose sum is σ = 382636800. Its totient is φ = 29963520.

The previous prime is 113575981. The next prime is 113576041. The reversal of 113576040 is 40675311.

113576040 is a `hidden beast` number, since 1 + 1 + 3 + 57 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113575995 and 113576013.

It is not an unprimeable number, because it can be changed into a prime (113576041) 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, 110730 + ... + 111750.

It is an arithmetic number, because the mean of its divisors is an integer number (2989350).

Almost surely, 2113576040 is an apocalyptic number.

113576040 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 113576040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191318400).

113576040 is an abundant number, since it is smaller than the sum of its proper divisors (269060760).

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

113576040 is a wasteful number, since it uses less digits than its factorization.

113576040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 113576040 is about 10657.2060128347. The cubic root of 113576040 is about 484.2789299028.

The spelling of 113576040 in words is "one hundred thirteen million, five hundred seventy-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 103 108 120 135 180 206 216 270 309 360 412 515 540 618 824 927 1021 1030 1080 1236 1545 1854 2042 2060 2472 2781 3063 3090 3708 4084 4120 4635 5105 5562 6126 6180 7416 8168 9189 9270 10210 11124 12252 12360 13905 15315 18378 18540 20420 22248 24504 27567 27810 30630 36756 37080 40840 45945 55134 55620 61260 73512 91890 105163 110268 111240 122520 137835 183780 210326 220536 275670 315489 367560 420652 525815 551340 630978 841304 946467 1051630 1102680 1261956 1577445 1892934 2103260 2523912 2839401 3154890 3785868 4206520 4732335 5678802 6309780 7571736 9464670 11357604 12619560 14197005 18929340 22715208 28394010 37858680 56788020 113576040