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112966080 = 2635117673
BaseRepresentation
bin1101011101110…
…11100111000000
321212120021022220
412232323213000
5212404403310
615113131040
72541124113
oct656734700
9255507286
10112966080
11588480a7
12319b9a80
131a533446
141100857a
159db6670
hex6bbb9c0

112966080 has 56 divisors (see below), whose sum is σ = 358670352. Its totient is φ = 30124032.

The previous prime is 112966043. The next prime is 112966097. The reversal of 112966080 is 80669211.

It is a super-2 number, since 2×1129660802 = 25522670461132800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57877 + ... + 59796.

Almost surely, 2112966080 is an apocalyptic number.

112966080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112966080 is an abundant number, since it is smaller than the sum of its proper divisors (245704272).

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

112966080 is a wasteful number, since it uses less digits than its factorization.

112966080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117693 (or 117683 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 112966080 is about 10628.5502303936. The cubic root of 112966080 is about 483.4104334661.

The spelling of 112966080 in words is "one hundred twelve million, nine hundred sixty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 117673 235346 353019 470692 588365 706038 941384 1176730 1412076 1765095 1882768 2353460 2824152 3530190 3765536 4706920 5648304 7060380 7531072 9413840 11296608 14120760 18827680 22593216 28241520 37655360 56483040 112966080