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112864037 = 11131722731
BaseRepresentation
bin1101011101000…
…10101100100101
321212101002100112
412232202230211
5212343122122
615111022405
72540220446
oct656425445
9255332315
10112864037
1158788470
123196aa05
131a4c8b70
1410dbd2cd
159d962e2
hex6ba2b25

112864037 has 24 divisors (see below), whose sum is σ = 140905632. Its totient is φ = 89107200.

The previous prime is 112864033. The next prime is 112864043. The reversal of 112864037 is 730468211.

It is not a de Polignac number, because 112864037 - 22 = 112864033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112863994 and 112864012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112864033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39962 + ... + 42692.

It is an arithmetic number, because the mean of its divisors is an integer number (5871068).

Almost surely, 2112864037 is an apocalyptic number.

112864037 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

112864037 is a deficient number, since it is larger than the sum of its proper divisors (28041595).

112864037 is a wasteful number, since it uses less digits than its factorization.

112864037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 112864037 is about 10623.7487263207. The cubic root of 112864037 is about 483.2648336800.

The spelling of 112864037 in words is "one hundred twelve million, eight hundred sixty-four thousand, thirty-seven".

Divisors: 1 11 13 17 143 187 221 289 2431 2731 3179 3757 30041 35503 41327 46427 390533 510697 603551 789259 6639061 8681849 10260367 112864037