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112580560 = 2451407257
BaseRepresentation
bin1101011010111…
…01011111010000
321211211200111101
412231131133100
5212310034220
615100554144
72534630131
oct655353720
9254750441
10112580560
1158604494
1231852954
131a429b21
1410d47c88
159d3c30a
hex6b5d7d0

112580560 has 20 divisors (see below), whose sum is σ = 261749988. Its totient is φ = 45032192.

The previous prime is 112580551. The next prime is 112580591. The reversal of 112580560 is 65085211.

It can be written as a sum of positive squares in 2 ways, for example, as 33085504 + 79495056 = 5752^2 + 8916^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 703549 + ... + 703708.

Almost surely, 2112580560 is an apocalyptic number.

112580560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112580560 is an abundant number, since it is smaller than the sum of its proper divisors (149169428).

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

112580560 is a wasteful number, since it uses less digits than its factorization.

112580560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407270 (or 1407264 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 112580560 is about 10610.3986730000. The cubic root of 112580560 is about 482.8598941790.

The spelling of 112580560 in words is "one hundred twelve million, five hundred eighty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1407257 2814514 5629028 7036285 11258056 14072570 22516112 28145140 56290280 112580560