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112389312 = 2637174919
BaseRepresentation
bin1101011001011…
…10110011000000
321211110222011010
412230232303000
5212232424222
615052520520
72533202430
oct654566300
9254428133
10112389312
1158493832
1231780140
131a390a69
1410cd82c0
159d0080c
hex6b2ecc0

112389312 has 112 divisors (see below), whose sum is σ = 359907840. Its totient is φ = 30216192.

The previous prime is 112389301. The next prime is 112389317. The reversal of 112389312 is 213983211.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 112389312.

It is not an unprimeable number, because it can be changed into a prime (112389317) 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 15 ways as a sum of consecutive naturals, for example, 20389 + ... + 25307.

Almost surely, 2112389312 is an apocalyptic number.

112389312 is a gapful number since it is divisible by the number (12) 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 112389312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179953920).

112389312 is an abundant number, since it is smaller than the sum of its proper divisors (247518528).

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

112389312 is a wasteful number, since it uses less digits than its factorization.

112389312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4958 (or 4948 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 112389312 is about 10601.3825513468. The cubic root of 112389312 is about 482.5863172552.

The spelling of 112389312 in words is "one hundred twelve million, three hundred eighty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2856 3264 3808 4919 5712 7616 9838 11424 14757 19676 22848 29514 34433 39352 59028 68866 78704 83623 103299 118056 137732 157408 167246 206598 236112 250869 275464 314816 334492 413196 472224 501738 550928 585361 668984 826392 944448 1003476 1101856 1170722 1337968 1652784 1756083 2006952 2203712 2341444 2675936 3305568 3512166 4013904 4682888 5351872 6611136 7024332 8027808 9365776 14048664 16055616 18731552 28097328 37463104 56194656 112389312