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112057880 = 235111771211
BaseRepresentation
bin1101010110111…
…01111000011000
321210212010111212
412223131320120
5212141323010
615041442252
72530322234
oct653357030
9253763455
10112057880
1158287820
1231640388
131a2a5c4c
1410c4d5c4
159c87505
hex6adde18

112057880 has 128 divisors (see below), whose sum is σ = 296732160. Its totient is φ = 37632000.

The previous prime is 112057849. The next prime is 112057889. The reversal of 112057880 is 88750211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112057889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 530975 + ... + 531185.

It is an arithmetic number, because the mean of its divisors is an integer number (2318220).

Almost surely, 2112057880 is an apocalyptic number.

112057880 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 112057880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148366080).

112057880 is an abundant number, since it is smaller than the sum of its proper divisors (184674280).

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

112057880 is a wasteful number, since it uses less digits than its factorization.

112057880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 32.

The square root of 112057880 is about 10585.7394640148. The cubic root of 112057880 is about 482.1114736748. Note that the first 3 decimals are identical.

The spelling of 112057880 in words is "one hundred twelve million, fifty-seven thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 71 85 88 110 136 142 170 187 211 220 284 340 355 374 422 440 568 680 710 748 781 844 935 1055 1207 1420 1496 1562 1688 1870 2110 2321 2414 2840 3124 3587 3740 3905 4220 4642 4828 6035 6248 7174 7480 7810 8440 9284 9656 11605 12070 13277 14348 14981 15620 17935 18568 23210 24140 26554 28696 29962 31240 35870 39457 46420 48280 53108 59924 66385 71740 74905 78914 92840 106216 119848 132770 143480 149810 157828 164791 197285 254677 265540 299620 315656 329582 394570 509354 531080 599240 659164 789140 823955 1018708 1273385 1318328 1578280 1647910 2037416 2546770 2801447 3295820 5093540 5602894 6591640 10187080 11205788 14007235 22411576 28014470 56028940 112057880