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112267680 = 2535733413
BaseRepresentation
bin1101011000100…
…01000110100000
321211020210022020
412230101012200
5212220031210
615050141440
72532155010
oct654210640
9254223266
10112267680
1158410408
1231721880
131a34a5a5
1410ca5c40
159cc9770
hex6b111a0

112267680 has 96 divisors (see below), whose sum is σ = 404175744. Its totient is φ = 25660416.

The previous prime is 112267667. The next prime is 112267691. The reversal of 112267680 is 86762211.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13347 + ... + 20066.

It is an arithmetic number, because the mean of its divisors is an integer number (4210164).

Almost surely, 2112267680 is an apocalyptic number.

112267680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112267680 is an abundant number, since it is smaller than the sum of its proper divisors (291908064).

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

112267680 is a wasteful number, since it uses less digits than its factorization.

112267680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33438 (or 33430 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 112267680 is about 10595.6443881436. The cubic root of 112267680 is about 482.4121633086.

The spelling of 112267680 in words is "one hundred twelve million, two hundred sixty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 33413 66826 100239 133652 167065 200478 233891 267304 334130 400956 467782 501195 534608 668260 701673 801912 935564 1002390 1069216 1169455 1336520 1403346 1603824 1871128 2004780 2338910 2673040 2806692 3207648 3508365 3742256 4009560 4677820 5346080 5613384 7016730 7484512 8019120 9355640 11226768 14033460 16038240 18711280 22453536 28066920 37422560 56133840 112267680