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112397736 = 233112953277
BaseRepresentation
bin1101011001100…
…00110110101000
321211111101201010
412230300312220
5212233211421
615053023520
72533236123
oct654606650
9254441633
10112397736
115849a0a0
1231784ba0
131a394849
1410cdb3ba
159d03076
hex6b30da8

112397736 has 128 divisors (see below), whose sum is σ = 324259200. Its totient is φ = 32148480.

The previous prime is 112397731. The next prime is 112397737. The reversal of 112397736 is 637793211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112397694 and 112397703.

It is not an unprimeable number, because it can be changed into a prime (112397731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405630 + ... + 405906.

It is an arithmetic number, because the mean of its divisors is an integer number (2533275).

Almost surely, 2112397736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112397736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162129600).

112397736 is an abundant number, since it is smaller than the sum of its proper divisors (211861464).

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

112397736 is a wasteful number, since it uses less digits than its factorization.

112397736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 375 counting only the distinct ones).

The product of its digits is 47628, while the sum is 39.

The square root of 112397736 is about 10601.7798505723. The cubic root of 112397736 is about 482.5983741715.

The spelling of 112397736 in words is "one hundred twelve million, three hundred ninety-seven thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 53 58 66 87 88 106 116 132 159 174 212 232 264 277 318 319 348 424 554 583 636 638 696 831 957 1108 1166 1272 1276 1537 1662 1749 1914 2216 2332 2552 3047 3074 3324 3498 3828 4611 4664 6094 6148 6648 6996 7656 8033 9141 9222 12188 12296 13992 14681 16066 16907 18282 18444 24099 24376 29362 32132 33814 36564 36888 44043 48198 50721 58724 64264 67628 73128 88086 88363 96396 101442 117448 135256 161491 176172 176726 192792 202884 265089 322982 352344 353452 405768 425749 484473 530178 645964 706904 851498 968946 1060356 1277247 1291928 1702996 1937892 2120712 2554494 3405992 3875784 4683239 5108988 9366478 10217976 14049717 18732956 28099434 37465912 56198868 112397736