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112093344 = 25321141863
BaseRepresentation
bin1101010111001…
…10100010100000
321210220221011100
412223212202200
5212143441334
615042314400
72530530516
oct653464240
9253827140
10112093344
1158301430
1231658a00
131a2b912c
1410c5c4b6
159c92c99
hex6ae68a0

112093344 has 144 divisors (see below), whose sum is σ = 356638464. Its totient is φ = 33100800.

The previous prime is 112093343. The next prime is 112093349. The reversal of 112093344 is 443390211.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (112093343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129457 + ... + 130319.

It is an arithmetic number, because the mean of its divisors is an integer number (2476656).

Almost surely, 2112093344 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 112093344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178319232).

112093344 is an abundant number, since it is smaller than the sum of its proper divisors (244545120).

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

112093344 is a wasteful number, since it uses less digits than its factorization.

112093344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 112093344 is about 10587.4144152385. The cubic root of 112093344 is about 482.1623277452.

The spelling of 112093344 in words is "one hundred twelve million, ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 41 44 48 66 72 82 88 96 99 123 132 144 164 176 198 246 264 288 328 352 369 396 451 492 528 656 738 792 863 902 984 1056 1312 1353 1476 1584 1726 1804 1968 2589 2706 2952 3168 3452 3608 3936 4059 5178 5412 5904 6904 7216 7767 8118 9493 10356 10824 11808 13808 14432 15534 16236 18986 20712 21648 27616 28479 31068 32472 35383 37972 41424 43296 56958 62136 64944 70766 75944 82848 85437 106149 113916 124272 129888 141532 151888 170874 212298 227832 248544 283064 303776 318447 341748 389213 424596 455664 566128 636894 683496 778426 849192 911328 1132256 1167639 1273788 1366992 1556852 1698384 2335278 2547576 2733984 3113704 3396768 3502917 4670556 5095152 6227408 7005834 9341112 10190304 12454816 14011668 18682224 28023336 37364448 56046672 112093344