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113574720 = 2635716901
BaseRepresentation
bin1101100010100…
…00001101000000
321220201012020010
412301100031000
5213033342340
615134144520
72546240430
oct661201500
9256635203
10113574720
1159123406
1232052140
131a6b749c
14111262c0
159e86b80
hex6c50340

113574720 has 112 divisors (see below), whose sum is σ = 412138368. Its totient is φ = 25958400.

The previous prime is 113574661. The next prime is 113574743. The reversal of 113574720 is 27475311.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1731 + ... + 15170.

Almost surely, 2113574720 is an apocalyptic number.

113574720 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 113574720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206069184).

113574720 is an abundant number, since it is smaller than the sum of its proper divisors (298563648).

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

113574720 is a wasteful number, since it uses less digits than its factorization.

113574720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16928 (or 16918 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 113574720 is about 10657.1440827269. The cubic root of 113574720 is about 484.2770537716.

It can be divided in two parts, 1135 and 74720, that added together give a triangular number (75855 = T389).

The spelling of 113574720 in words is "one hundred thirteen million, five hundred seventy-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 16901 33802 50703 67604 84505 101406 118307 135208 169010 202812 236614 253515 270416 338020 354921 405624 473228 507030 540832 591535 676040 709842 811248 946456 1014060 1081664 1183070 1352080 1419684 1622496 1774605 1892912 2028120 2366140 2704160 2839368 3244992 3549210 3785824 4056240 4732280 5408320 5678736 7098420 7571648 8112480 9464560 11357472 14196840 16224960 18929120 22714944 28393680 37858240 56787360 113574720