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112552704 = 2832114441
BaseRepresentation
bin1101011010101…
…10101100000000
321211210021021200
412231112230000
5212303141304
615100221200
72534452665
oct655265400
9254707250
10112552704
1158595570
123183a800
131a41a244
1410d3ba6c
159d33e39
hex6b56b00

112552704 has 108 divisors (see below), whose sum is σ = 354098472. Its totient is φ = 34099200.

The previous prime is 112552681. The next prime is 112552709. The reversal of 112552704 is 407255211.

It is a super-2 number, since 2×1125527042 = 25336222355423232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112552709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23124 + ... + 27564.

Almost surely, 2112552704 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 112552704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177049236).

112552704 is an abundant number, since it is smaller than the sum of its proper divisors (241545768).

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

112552704 is a wasteful number, since it uses less digits than its factorization.

112552704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4474 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 112552704 is about 10609.0859172692. The cubic root of 112552704 is about 482.8200659448.

The spelling of 112552704 in words is "one hundred twelve million, five hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2816 3168 4224 4441 6336 8448 8882 12672 13323 17764 25344 26646 35528 39969 48851 53292 71056 79938 97702 106584 142112 146553 159876 195404 213168 284224 293106 319752 390808 426336 439659 568448 586212 639504 781616 852672 879318 1136896 1172424 1279008 1563232 1705344 1758636 2344848 2558016 3126464 3410688 3517272 4689696 5116032 6252928 7034544 9379392 10232064 12505856 14069088 18758784 28138176 37517568 56276352 112552704