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112555104 = 25310311383
BaseRepresentation
bin1101011010101…
…11010001100000
321211210101120120
412231113101200
5212303230404
615100240240
72534462664
oct655272140
9254711516
10112555104
1158597352
1231840080
131a41b36c
1410d3c8a4
159d349d9
hex6b57460

112555104 has 48 divisors (see below), whose sum is σ = 298351872. Its totient is φ = 37150848.

The previous prime is 112555063. The next prime is 112555129. The reversal of 112555104 is 401555211.

It is a tau number, because it is divible by the number of its divisors (48).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4197 + ... + 15579.

It is an arithmetic number, because the mean of its divisors is an integer number (6215664).

Almost surely, 2112555104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112555104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149175936).

112555104 is an abundant number, since it is smaller than the sum of its proper divisors (185796768).

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

112555104 is a wasteful number, since it uses less digits than its factorization.

112555104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11499 (or 11491 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 112555104 is about 10609.1990272593. The cubic root of 112555104 is about 482.8234976999.

The spelling of 112555104 in words is "one hundred twelve million, five hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 1236 1648 2472 3296 4944 9888 11383 22766 34149 45532 68298 91064 136596 182128 273192 364256 546384 1092768 1172449 2344898 3517347 4689796 7034694 9379592 14069388 18759184 28138776 37518368 56277552 112555104