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113352580 = 225111274057
BaseRepresentation
bin1101100000110…
…01111110000100
321220021220111201
412300121332010
5213004240310
615125312244
72544323665
oct660317604
9256256451
10113352580
1158a91520
1231b65684
131a63a343
14110a936c
159e40e3a
hex6c19f84

113352580 has 48 divisors (see below), whose sum is σ = 261789696. Its totient is φ = 40884480.

The previous prime is 113352557. The next prime is 113352581. The reversal of 113352580 is 85253311.

It is not an unprimeable number, because it can be changed into a prime (113352581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25912 + ... + 29968.

It is an arithmetic number, because the mean of its divisors is an integer number (5453952).

Almost surely, 2113352580 is an apocalyptic number.

113352580 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 113352580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130894848).

113352580 is an abundant number, since it is smaller than the sum of its proper divisors (148437116).

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

113352580 is a wasteful number, since it uses less digits than its factorization.

113352580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4204 (or 4202 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 113352580 is about 10646.7168648368. The cubic root of 113352580 is about 483.9611163353.

The spelling of 113352580 in words is "one hundred thirteen million, three hundred fifty-two thousand, five hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 127 220 254 508 635 1270 1397 2540 2794 4057 5588 6985 8114 13970 16228 20285 27940 40570 44627 81140 89254 178508 223135 446270 515239 892540 1030478 2060956 2576195 5152390 5667629 10304780 11335258 22670516 28338145 56676290 113352580