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112580369 = 1147713067
BaseRepresentation
bin1101011010111…
…01011100010001
321211211200020022
412231131130101
5212310032434
615100553225
72534626436
oct655353421
9254750208
10112580369
1158604330
1231852815
131a429a05
1410d47b8d
159d3c22e
hex6b5d711

112580369 has 16 divisors (see below), whose sum is σ = 127236096. Its totient is φ = 98725200.

The previous prime is 112580359. The next prime is 112580387. The reversal of 112580369 is 963085211.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112580369 is a prime.

It is a super-5 number, since 5×1125803695 (a number of 41 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112580329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35174 + ... + 38240.

It is an arithmetic number, because the mean of its divisors is an integer number (7952256).

Almost surely, 2112580369 is an apocalyptic number.

It is an amenable number.

112580369 is a deficient number, since it is larger than the sum of its proper divisors (14655727).

112580369 is a wasteful number, since it uses less digits than its factorization.

112580369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196.

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 112580369 is about 10610.3896723919. The cubic root of 112580369 is about 482.8596211115.

The spelling of 112580369 in words is "one hundred twelve million, five hundred eighty thousand, three hundred sixty-nine".

Divisors: 1 11 47 71 517 781 3067 3337 33737 36707 144149 217757 1585639 2395327 10234579 112580369