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112013568 = 283261797
BaseRepresentation
bin1101010110100…
…11000100000000
321210202212201200
412223103010000
5212133413233
615040501200
72530046112
oct653230400
9253685650
10112013568
11582574a7
123161a800
131a28ba24
1410c3b3b2
159c79313
hex6ad3100

112013568 has 108 divisors (see below), whose sum is σ = 328669068. Its totient is φ = 36679680.

The previous prime is 112013557. The next prime is 112013579. The reversal of 112013568 is 865310211.

It is an interprime number because it is at equal distance from previous prime (112013557) and next prime (112013579).

It can be written as a sum of positive squares in 2 ways, for example, as 23503104 + 88510464 = 4848^2 + 9408^2 .

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, 140146 + ... + 140942.

Almost surely, 2112013568 is an apocalyptic number.

112013568 is a gapful number since it is divisible by the number (18) 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 112013568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164334534).

112013568 is an abundant number, since it is smaller than the sum of its proper divisors (216655500).

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

112013568 is an equidigital number, since it uses as much as digits as its factorization.

112013568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 112013568 is about 10583.6462525918. The cubic root of 112013568 is about 482.0479168171.

Adding to 112013568 its reverse (865310211), we get a palindrome (977323779).

The spelling of 112013568 in words is "one hundred twelve million, thirteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 256 288 366 384 488 549 576 732 768 797 976 1098 1152 1464 1594 1952 2196 2304 2391 2928 3188 3904 4392 4782 5856 6376 7173 7808 8784 9564 11712 12752 14346 15616 17568 19128 23424 25504 28692 35136 38256 46848 48617 51008 57384 70272 76512 97234 102016 114768 140544 145851 153024 194468 204032 229536 291702 306048 388936 437553 459072 583404 612096 777872 875106 918144 1166808 1555744 1750212 1836288 2333616 3111488 3500424 4667232 6222976 7000848 9334464 12445952 14001696 18668928 28003392 37337856 56006784 112013568