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112010496 = 283132863
BaseRepresentation
bin1101010110100…
…10010100000000
321210202201111220
412223102110000
5212133313441
615040435040
72530034133
oct653222400
9253681456
10112010496
1158255164
1231618a80
131a28a500
1410c3a21a
159c78466
hex6ad2500

112010496 has 108 divisors (see below), whose sum is σ = 323180928. Its totient is φ = 34424832.

The previous prime is 112010473. The next prime is 112010519. The reversal of 112010496 is 694010211.

It is an interprime number because it is at equal distance from previous prime (112010473) and next prime (112010519).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129361 + ... + 130223.

It is an arithmetic number, because the mean of its divisors is an integer number (2992416).

Almost surely, 2112010496 is an apocalyptic number.

112010496 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 112010496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161590464).

112010496 is an abundant number, since it is smaller than the sum of its proper divisors (211170432).

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

112010496 is an equidigital number, since it uses as much as digits as its factorization.

112010496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 112010496 is about 10583.5011220295. The cubic root of 112010496 is about 482.0435100154.

The spelling of 112010496 in words is "one hundred twelve million, ten thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 256 312 338 384 416 507 624 676 768 832 863 1014 1248 1352 1664 1726 2028 2496 2589 2704 3328 3452 4056 4992 5178 5408 6904 8112 9984 10356 10816 11219 13808 16224 20712 21632 22438 27616 32448 33657 41424 43264 44876 55232 64896 67314 82848 89752 110464 129792 134628 145847 165696 179504 220928 269256 291694 331392 359008 437541 538512 583388 662784 718016 875082 1077024 1166776 1436032 1750164 2154048 2333552 2872064 3500328 4308096 4667104 7000656 8616192 9334208 14001312 18668416 28002624 37336832 56005248 112010496