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112464268 = 227191791181
BaseRepresentation
bin1101011010000…
…01000110001100
321211121202222021
412231001012030
5212242324033
615054255524
72533634110
oct655010614
9254552867
10112464268
1158535084
12317b75a4
131a3b8c07
1410d17740
159d17b2d
hex6b4118c

112464268 has 48 divisors (see below), whose sum is σ = 238291200. Its totient is φ = 45368640.

The previous prime is 112464239. The next prime is 112464269. The reversal of 112464268 is 862464211.

It is not an unprimeable number, because it can be changed into a prime (112464269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94638 + ... + 95818.

It is an arithmetic number, because the mean of its divisors is an integer number (4964400).

Almost surely, 2112464268 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 112464268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119145600).

112464268 is an abundant number, since it is smaller than the sum of its proper divisors (125826932).

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

112464268 is a wasteful number, since it uses less digits than its factorization.

112464268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1388 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 112464268 is about 10604.9171613926. The cubic root of 112464268 is about 482.6935774586.

The spelling of 112464268 in words is "one hundred twelve million, four hundred sixty-four thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 19 28 38 76 133 179 266 358 532 716 1181 1253 2362 2506 3401 4724 5012 6802 8267 13604 16534 22439 23807 33068 44878 47614 89756 95228 157073 211399 314146 422798 628292 845596 1479793 2959586 4016581 5919172 8033162 16066324 28116067 56232134 112464268