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112496496 = 24372314557
BaseRepresentation
bin1101011010010…
…00111101110000
321211200102011220
412231020331300
5212244341441
615055105040
72534130060
oct655107560
9254612156
10112496496
1158557312
1231812180
131a3ca798
1410d253a0
159d22466
hex6b48f70

112496496 has 80 divisors (see below), whose sum is σ = 346596864. Its totient is φ = 30742272.

The previous prime is 112496477. The next prime is 112496507. The reversal of 112496496 is 694694211.

It is a super-2 number, since 2×1124964962 = 25310923224556032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 450 + ... + 15006.

Almost surely, 2112496496 is an apocalyptic number.

112496496 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 112496496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173298432).

112496496 is an abundant number, since it is smaller than the sum of its proper divisors (234100368).

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

112496496 is a wasteful number, since it uses less digits than its factorization.

112496496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14598 (or 14592 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 112496496 is about 10606.4365363679. The cubic root of 112496496 is about 482.7396802881.

The spelling of 112496496 in words is "one hundred twelve million, four hundred ninety-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 7728 14557 29114 43671 58228 87342 101899 116456 174684 203798 232912 305697 334811 349368 407596 611394 669622 698736 815192 1004433 1222788 1339244 1630384 2008866 2343677 2445576 2678488 4017732 4687354 4891152 5356976 7031031 8035464 9374708 14062062 16070928 18749416 28124124 37498832 56248248 112496496