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112714488 = 233217711297
BaseRepresentation
bin1101011011111…
…10001011111000
321212002111012200
412231332023320
5212323330423
615103510200
72536025445
oct655761370
9255074180
10112714488
1158696077
12318b8360
131a475a83
1410d809cc
159d66d43
hex6b7e2f8

112714488 has 96 divisors (see below), whose sum is σ = 328030560. Its totient is φ = 34836480.

The previous prime is 112714457. The next prime is 112714489. The reversal of 112714488 is 884417211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112714489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86256 + ... + 87552.

It is an arithmetic number, because the mean of its divisors is an integer number (3416985).

Almost surely, 2112714488 is an apocalyptic number.

112714488 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 112714488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164015280).

112714488 is an abundant number, since it is smaller than the sum of its proper divisors (215316072).

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

112714488 is a wasteful number, since it uses less digits than its factorization.

112714488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1390 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 112714488 is about 10616.7079643362. The cubic root of 112714488 is about 483.0512914423.

The spelling of 112714488 in words is "one hundred twelve million, seven hundred fourteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 71 72 102 136 142 153 204 213 284 306 408 426 568 612 639 852 1207 1224 1278 1297 1704 2414 2556 2594 3621 3891 4828 5112 5188 7242 7782 9656 10376 10863 11673 14484 15564 21726 22049 23346 28968 31128 43452 44098 46692 66147 86904 88196 92087 93384 132294 176392 184174 198441 264588 276261 368348 396882 529176 552522 736696 793764 828783 1105044 1565479 1587528 1657566 2210088 3130958 3315132 4696437 6261916 6630264 9392874 12523832 14089311 18785748 28178622 37571496 56357244 112714488