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113823580 = 225134310181
BaseRepresentation
bin1101100100011…
…00111101011100
321221011211121011
412302030331130
5213114323310
615143345004
72551325113
oct662147534
9257154534
10113823580
1159283382
1232152164
131a773840
141118cc7a
159ed578a
hex6c8cf5c

113823580 has 48 divisors (see below), whose sum is σ = 263428704. Its totient is φ = 41045760.

The previous prime is 113823559. The next prime is 113823607. The reversal of 113823580 is 85328311.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

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, 6090 + ... + 16270.

It is an arithmetic number, because the mean of its divisors is an integer number (5488098).

Almost surely, 2113823580 is an apocalyptic number.

113823580 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 113823580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131714352).

113823580 is an abundant number, since it is smaller than the sum of its proper divisors (149605124).

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

113823580 is a wasteful number, since it uses less digits than its factorization.

113823580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10246 (or 10244 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 113823580 is about 10668.8134298056. The cubic root of 113823580 is about 484.6305046997.

The spelling of 113823580 in words is "one hundred thirteen million, eight hundred twenty-three thousand, five hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 430 559 860 1118 2236 2795 5590 10181 11180 20362 40724 50905 101810 132353 203620 264706 437783 529412 661765 875566 1323530 1751132 2188915 2647060 4377830 5691179 8755660 11382358 22764716 28455895 56911790 113823580