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112665616 = 2471397237
BaseRepresentation
bin1101011011100…
…10010000010000
321212000000011121
412231302100100
5212320244431
615102452024
72535433120
oct655622020
9255000147
10112665616
1158662388
1231894014
131a45975b
1410d6ac80
159d57611
hex6b72410

112665616 has 40 divisors (see below), whose sum is σ = 251303360. Its totient is φ = 47931264.

The previous prime is 112665607. The next prime is 112665653. The reversal of 112665616 is 616566211.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11950 + ... + 19186.

It is an arithmetic number, because the mean of its divisors is an integer number (6282584).

Almost surely, 2112665616 is an apocalyptic number.

112665616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112665616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125651680).

112665616 is an abundant number, since it is smaller than the sum of its proper divisors (138637744).

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

112665616 is a wasteful number, since it uses less digits than its factorization.

112665616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7391 (or 7385 counting only the distinct ones).

The product of its digits is 12960, while the sum is 34.

The square root of 112665616 is about 10614.4060596908. The cubic root of 112665616 is about 482.9814657674.

The spelling of 112665616 in words is "one hundred twelve million, six hundred sixty-five thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 139 278 556 973 1112 1946 2224 3892 7237 7784 14474 15568 28948 50659 57896 101318 115792 202636 405272 810544 1005943 2011886 4023772 7041601 8047544 14083202 16095088 28166404 56332808 112665616