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112624065 = 32517147221
BaseRepresentation
bin1101011011010…
…00000111000001
321211220220011200
412231220013001
5212312432230
615101531413
72535201021
oct655500701
9254826150
10112624065
1158634144
1231873b69
131a443878
1410d59a81
159d4a160
hex6b681c1

112624065 has 24 divisors (see below), whose sum is σ = 206699688. Its totient is φ = 56532480.

The previous prime is 112624037. The next prime is 112624073. The reversal of 112624065 is 560426211.

It can be written as a sum of positive squares in 4 ways, for example, as 27468081 + 85155984 = 5241^2 + 9228^2 .

It is not a de Polignac number, because 112624065 - 25 = 112624033 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72846 + ... + 74375.

It is an arithmetic number, because the mean of its divisors is an integer number (8612487).

Almost surely, 2112624065 is an apocalyptic number.

112624065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112624065 is a deficient number, since it is larger than the sum of its proper divisors (94075623).

112624065 is a wasteful number, since it uses less digits than its factorization.

112624065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147249 (or 147246 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 112624065 is about 10612.4485864479. The cubic root of 112624065 is about 482.9220840585.

The spelling of 112624065 in words is "one hundred twelve million, six hundred twenty-four thousand, sixty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 147221 441663 736105 1324989 2208315 2502757 6624945 7508271 12513785 22524813 37541355 112624065