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113574240 = 25325136067
BaseRepresentation
bin1101100010100…
…00000101100000
321220201011120100
412301100011200
5213033333430
615134142400
72546236143
oct661200540
9256634510
10113574240
115912300a
1232051a00
131a6b71c0
141112605a
159e86960
hex6c50160

113574240 has 144 divisors (see below), whose sum is σ = 417454128. Its totient is φ = 27952128.

The previous prime is 113574239. The next prime is 113574257. The reversal of 113574240 is 42475311.

It is a tau number, because it is divible by the number of its divisors (144).

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, 15687 + ... + 21753.

It is an arithmetic number, because the mean of its divisors is an integer number (2898987).

Almost surely, 2113574240 is an apocalyptic number.

113574240 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 113574240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208727064).

113574240 is an abundant number, since it is smaller than the sum of its proper divisors (303879888).

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

113574240 is a wasteful number, since it uses less digits than its factorization.

113574240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6101 (or 6090 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 113574240 is about 10657.1215625984. The cubic root of 113574240 is about 484.2763715385.

The spelling of 113574240 in words is "one hundred thirteen million, five hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6067 6240 9360 12134 18201 18720 24268 30335 36402 48536 54603 60670 72804 78871 91005 97072 109206 121340 145608 157742 182010 194144 218412 236613 242680 273015 291216 315484 364020 394355 436824 473226 485360 546030 582432 630968 709839 728040 788710 873648 946452 970720 1092060 1183065 1261936 1419678 1456080 1577420 1747296 1892904 2184120 2366130 2523872 2839356 2912160 3154840 3549195 3785808 4368240 4732260 5678712 6309680 7098390 7571616 8736480 9464520 11357424 12619360 14196780 18929040 22714848 28393560 37858080 56787120 113574240