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113295280 = 2457307659
BaseRepresentation
bin1101100000010…
…11111110110000
321220011222220111
412300023332300
5213000422110
615124151104
72543664640
oct660137660
9256158814
10113295280
1158a5246a
1231b38494
131a61a237
1411092520
159e2de8a
hex6c0bfb0

113295280 has 80 divisors (see below), whose sum is σ = 302480640. Its totient is φ = 38658816.

The previous prime is 113295251. The next prime is 113295283. The reversal of 113295280 is 82592311.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (113295283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171591 + ... + 172249.

It is an arithmetic number, because the mean of its divisors is an integer number (3781008).

Almost surely, 2113295280 is an apocalyptic number.

113295280 is a gapful number since it is divisible by the number (10) 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 113295280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151240320).

113295280 is an abundant number, since it is smaller than the sum of its proper divisors (189185360).

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

113295280 is a wasteful number, since it uses less digits than its factorization.

113295280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 113295280 is about 10644.0255542722. The cubic root of 113295280 is about 483.8795547570.

The spelling of 113295280 in words is "one hundred thirteen million, two hundred ninety-five thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 307 560 614 659 1228 1318 1535 2149 2456 2636 3070 3295 4298 4613 4912 5272 6140 6590 8596 9226 10544 10745 12280 13180 17192 18452 21490 23065 24560 26360 34384 36904 42980 46130 52720 73808 85960 92260 171920 184520 202313 369040 404626 809252 1011565 1416191 1618504 2023130 2832382 3237008 4046260 5664764 7080955 8092520 11329528 14161910 16185040 22659056 28323820 56647640 113295280