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112412560 = 24513108089
BaseRepresentation
bin1101011001101…
…00011110010000
321211112011001011
412230310132100
5212234200220
615053220304
72533330261
oct654643620
9254464034
10112412560
11584aa247
1231791694
131a39b510
1410d02968
159d0765a
hex6b34790

112412560 has 40 divisors (see below), whose sum is σ = 281466360. Its totient is φ = 41505792.

The previous prime is 112412557. The next prime is 112412561. The reversal of 112412560 is 65214211.

It can be written as a sum of positive squares in 4 ways, for example, as 2917264 + 109495296 = 1708^2 + 10464^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112412561) 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 7 ways as a sum of consecutive naturals, for example, 53005 + ... + 55084.

It is an arithmetic number, because the mean of its divisors is an integer number (7036659).

Almost surely, 2112412560 is an apocalyptic number.

112412560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112412560 is an abundant number, since it is smaller than the sum of its proper divisors (169053800).

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

112412560 is a wasteful number, since it uses less digits than its factorization.

112412560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108115 (or 108109 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 112412560 is about 10602.4789554142. The cubic root of 112412560 is about 482.6195896754.

Adding to 112412560 its reverse (65214211), we get a palindrome (177626771).

The spelling of 112412560 in words is "one hundred twelve million, four hundred twelve thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 108089 216178 432356 540445 864712 1080890 1405157 1729424 2161780 2810314 4323560 5620628 7025785 8647120 11241256 14051570 22482512 28103140 56206280 112412560