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112561064 = 23711296301
BaseRepresentation
bin1101011010110…
…00101110101000
321211210200202022
412231120232220
5212303423224
615100324012
72534516240
oct655305650
9254720668
10112561064
11585a0880
1231843608
131a420ca5
1410d40b20
159d3665e
hex6b58ba8

112561064 has 64 divisors (see below), whose sum is σ = 272246400. Its totient is φ = 42336000.

The previous prime is 112561039. The next prime is 112561081. The reversal of 112561064 is 460165211.

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, 14714 + ... + 21014.

It is an arithmetic number, because the mean of its divisors is an integer number (4253850).

Almost surely, 2112561064 is an apocalyptic number.

112561064 is a gapful number since it is divisible by the number (14) 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 112561064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136123200).

112561064 is an abundant number, since it is smaller than the sum of its proper divisors (159685336).

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

112561064 is a wasteful number, since it uses less digits than its factorization.

112561064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6354 (or 6350 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 112561064 is about 10609.4799118524. The cubic root of 112561064 is about 482.8320196805.

The spelling of 112561064 in words is "one hundred twelve million, five hundred sixty-one thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 29 44 56 58 77 88 116 154 203 232 308 319 406 616 638 812 1276 1624 2233 2552 4466 6301 8932 12602 17864 25204 44107 50408 69311 88214 138622 176428 182729 277244 352856 365458 485177 554488 730916 970354 1279103 1461832 1940708 2010019 2558206 3881416 4020038 5116412 8040076 10232824 14070133 16080152 28140266 56280532 112561064