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112953104 = 2411897211
BaseRepresentation
bin1101011101110…
…00011100010000
321212112121112022
412232320130100
5212403444404
615112551012
72541041225
oct656703420
9255477468
10112953104
1158839380
12319b2468
131a52a574
141100394c
159db28be
hex6bb8710

112953104 has 40 divisors (see below), whose sum is σ = 241457760. Its totient is φ = 50758400.

The previous prime is 112953097. The next prime is 112953107. The reversal of 112953104 is 401359211.

It is not an unprimeable number, because it can be changed into a prime (112953107) 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, 12059 + ... + 19269.

It is an arithmetic number, because the mean of its divisors is an integer number (6036444).

Almost surely, 2112953104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112953104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120728880).

112953104 is an abundant number, since it is smaller than the sum of its proper divisors (128504656).

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

112953104 is a wasteful number, since it uses less digits than its factorization.

112953104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7319 (or 7313 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 112953104 is about 10627.9397815381. The cubic root of 112953104 is about 483.3919235619.

The spelling of 112953104 in words is "one hundred twelve million, nine hundred fifty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 89 176 178 356 712 979 1424 1958 3916 7211 7832 14422 15664 28844 57688 79321 115376 158642 317284 634568 641779 1269136 1283558 2567116 5134232 7059569 10268464 14119138 28238276 56476552 112953104