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112261856 = 2571513319
BaseRepresentation
bin1101011000011…
…11101011100000
321211020111022112
412230033223200
5212214334411
615050054452
72532132020
oct654175340
9254214275
10112261856
1158406aa3
123171a428
131a347a45
1410ca3a80
159cc7b8b
hex6b0fae0

112261856 has 48 divisors (see below), whose sum is σ = 254338560. Its totient is φ = 47779200.

The previous prime is 112261847. The next prime is 112261859. The reversal of 112261856 is 658162211.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112261859) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32165 + ... + 35483.

It is an arithmetic number, because the mean of its divisors is an integer number (5298720).

Almost surely, 2112261856 is an apocalyptic number.

112261856 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 112261856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127169280).

112261856 is an abundant number, since it is smaller than the sum of its proper divisors (142076704).

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

112261856 is a wasteful number, since it uses less digits than its factorization.

112261856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3487 (or 3479 counting only the distinct ones).

The product of its digits is 5760, while the sum is 32.

The square root of 112261856 is about 10595.3695546687. The cubic root of 112261856 is about 482.4038212906.

The spelling of 112261856 in words is "one hundred twelve million, two hundred sixty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 151 224 302 604 1057 1208 2114 2416 3319 4228 4832 6638 8456 13276 16912 23233 26552 33824 46466 53104 92932 106208 185864 371728 501169 743456 1002338 2004676 3508183 4009352 7016366 8018704 14032732 16037408 28065464 56130928 112261856