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112912980 = 223517234813
BaseRepresentation
bin1101011101011…
…10101001010100
321212110120111020
412232232221110
5212401203410
615112041140
72540513235
oct656565124
9255416436
10112912980
1158811214
12319931b0
131a51521b
1410dd308c
159da5a70
hex6baea54

112912980 has 96 divisors (see below), whose sum is σ = 349380864. Its totient is φ = 27101184.

The previous prime is 112912931. The next prime is 112912993. The reversal of 112912980 is 89219211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21054 + ... + 25866.

It is an arithmetic number, because the mean of its divisors is an integer number (3639384).

Almost surely, 2112912980 is an apocalyptic number.

112912980 is a gapful number since it is divisible by the number (10) 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 112912980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174690432).

112912980 is an abundant number, since it is smaller than the sum of its proper divisors (236467884).

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

112912980 is a wasteful number, since it uses less digits than its factorization.

112912980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4865 (or 4863 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 112912980 is about 10626.0519479250. The cubic root of 112912980 is about 483.3346788178.

The spelling of 112912980 in words is "one hundred twelve million, nine hundred twelve thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 23 30 34 46 51 60 68 69 85 92 102 115 138 170 204 230 255 276 340 345 391 460 510 690 782 1020 1173 1380 1564 1955 2346 3910 4692 4813 5865 7820 9626 11730 14439 19252 23460 24065 28878 48130 57756 72195 81821 96260 110699 144390 163642 221398 245463 288780 327284 332097 409105 442796 490926 553495 664194 818210 981852 1106990 1227315 1328388 1636420 1660485 1881883 2213980 2454630 3320970 3763766 4909260 5645649 6641940 7527532 9409415 11291298 18818830 22582596 28228245 37637660 56456490 112912980