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112874688 = 263383787
BaseRepresentation
bin1101011101001…
…01010011000000
321212101121222000
412232211103000
5212343442223
615111144000
72540263503
oct656452300
9255347860
10112874688
1158795473
1231975000
131a500974
1410dc313a
159d99543
hex6ba54c0

112874688 has 112 divisors (see below), whose sum is σ = 336255360. Its totient is φ = 37124352.

The previous prime is 112874659. The next prime is 112874693. The reversal of 112874688 is 886478211.

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, 143031 + ... + 143817.

It is an arithmetic number, because the mean of its divisors is an integer number (3002280).

Almost surely, 2112874688 is an apocalyptic number.

112874688 is a gapful number since it is divisible by the number (18) 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 112874688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168127680).

112874688 is an abundant number, since it is smaller than the sum of its proper divisors (223380672).

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

112874688 is an equidigital number, since it uses as much as digits as its factorization.

112874688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 875 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 112874688 is about 10624.2499970586. The cubic root of 112874688 is about 483.2800351323.

The spelling of 112874688 in words is "one hundred twelve million, eight hundred seventy-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 144 166 192 216 249 288 332 432 498 576 664 747 787 864 996 1328 1494 1574 1728 1992 2241 2361 2656 2988 3148 3984 4482 4722 5312 5976 6296 7083 7968 8964 9444 11952 12592 14166 15936 17928 18888 21249 23904 25184 28332 35856 37776 42498 47808 50368 56664 65321 71712 75552 84996 113328 130642 143424 151104 169992 195963 226656 261284 339984 391926 453312 522568 587889 679968 783852 1045136 1175778 1359936 1567704 1763667 2090272 2351556 3135408 3527334 4180544 4703112 6270816 7054668 9406224 12541632 14109336 18812448 28218672 37624896 56437344 112874688