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112086961 = 7259137283
BaseRepresentation
bin1101010111001…
…00111110110001
321210220121101221
412223210332301
5212143240321
615042225041
72530503100
oct653447661
9253817357
10112086961
11582a7658
1231655181
131a2b625c
1410c5a037
159c90e41
hex6ae4fb1

112086961 has 24 divisors (see below), whose sum is σ = 134036640. Its totient is φ = 93425472.

The previous prime is 112086883. The next prime is 112086977. The reversal of 112086961 is 169680211.

It is not a de Polignac number, because 112086961 - 215 = 112054193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112086761) 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, 395926 + ... + 396208.

It is an arithmetic number, because the mean of its divisors is an integer number (5584860).

Almost surely, 2112086961 is an apocalyptic number.

It is an amenable number.

112086961 is a deficient number, since it is larger than the sum of its proper divisors (21949679).

112086961 is a wasteful number, since it uses less digits than its factorization.

112086961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 112086961 is about 10587.1129681325. The cubic root of 112086961 is about 482.1531755498.

The spelling of 112086961 in words is "one hundred twelve million, eighty-six thousand, nine hundred sixty-one".

Divisors: 1 7 49 59 137 283 413 959 1981 2891 6713 8083 13867 16697 38771 56581 116879 271397 396067 818153 1899779 2287489 16012423 112086961