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113525520 = 24351992377
BaseRepresentation
bin1101100010001…
…00001100010000
321220121200201220
412301010030100
5213030304040
615133125040
72545644123
oct661041420
9256550656
10113525520
115909a449
1232029780
131a69ac84
14111123ba
159e772d0
hex6c44310

113525520 has 80 divisors (see below), whose sum is σ = 353846400. Its totient is φ = 30108672.

The previous prime is 113525519. The next prime is 113525557. The reversal of 113525520 is 25525311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

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, 46572 + ... + 48948.

It is an arithmetic number, because the mean of its divisors is an integer number (4423080).

Almost surely, 2113525520 is an apocalyptic number.

113525520 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 113525520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176923200).

113525520 is an abundant number, since it is smaller than the sum of its proper divisors (240320880).

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

113525520 is a wasteful number, since it uses less digits than its factorization.

113525520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 113525520 is about 10654.8355219590. The cubic root of 113525520 is about 484.2071148733.

The spelling of 113525520 in words is "one hundred thirteen million, five hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 199 240 398 597 796 995 1194 1592 1990 2377 2388 2985 3184 3980 4754 4776 5970 7131 7960 9508 9552 11885 11940 14262 15920 19016 23770 23880 28524 35655 38032 47540 47760 57048 71310 95080 114096 142620 190160 285240 473023 570480 946046 1419069 1892092 2365115 2838138 3784184 4730230 5676276 7095345 7568368 9460460 11352552 14190690 18920920 22705104 28381380 37841840 56762760 113525520