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112388496 = 243111719659
BaseRepresentation
bin1101011001011…
…10100110010000
321211110221000220
412230232212100
5212232412441
615052513040
72533200153
oct654564620
9254427026
10112388496
1158493160
123177b780
131a39058c
1410cd7c9a
159d00466
hex6b2e990

112388496 has 160 divisors (see below), whose sum is σ = 353548800. Its totient is φ = 30320640.

The previous prime is 112388467. The next prime is 112388501. The reversal of 112388496 is 694883211.

It is an unprimeable number.

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, 170215 + ... + 170873.

It is an arithmetic number, because the mean of its divisors is an integer number (2209680).

Almost surely, 2112388496 is an apocalyptic number.

112388496 is a gapful number since it is divisible by the number (16) 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 112388496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176774400).

112388496 is an abundant number, since it is smaller than the sum of its proper divisors (241160304).

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

112388496 is a wasteful number, since it uses less digits than its factorization.

112388496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 711 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 112388496 is about 10601.3440657305. The cubic root of 112388496 is about 482.5851493168.

The spelling of 112388496 in words is "one hundred twelve million, three hundred eighty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 19 22 24 33 34 38 44 48 51 57 66 68 76 88 102 114 132 136 152 176 187 204 209 228 264 272 304 323 374 408 418 456 528 561 627 646 659 748 816 836 912 969 1122 1254 1292 1318 1496 1672 1938 1977 2244 2508 2584 2636 2992 3344 3553 3876 3954 4488 5016 5168 5272 7106 7249 7752 7908 8976 10032 10544 10659 11203 12521 14212 14498 15504 15816 21318 21747 22406 25042 28424 28996 31632 33609 37563 42636 43494 44812 50084 56848 57992 67218 75126 85272 86988 89624 100168 115984 123233 134436 137731 150252 170544 173976 179248 200336 212857 246466 268872 275462 300504 347952 369699 413193 425714 492932 537744 550924 601008 638571 739398 826386 851428 985864 1101848 1277142 1478796 1652772 1702856 1971728 2203696 2341427 2554284 2957592 3305544 3405712 4682854 5108568 5915184 6611088 7024281 9365708 10217136 14048562 18731416 28097124 37462832 56194248 112388496