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113279976 = 233217194871
BaseRepresentation
bin1101100000010…
…00001111101000
321220011012220200
412300020033220
5212444424401
615123552200
72543602215
oct660101750
9256135820
10113279976
1158a41a17
1231b2b660
131a613294
141108ab0c
159e29686
hex6c083e8

113279976 has 96 divisors (see below), whose sum is σ = 342014400. Its totient is φ = 33661440.

The previous prime is 113279963. The next prime is 113279987. The reversal of 113279976 is 679972311.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 20821 + ... + 25691.

It is an arithmetic number, because the mean of its divisors is an integer number (3562650).

Almost surely, 2113279976 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 113279976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171007200).

113279976 is an abundant number, since it is smaller than the sum of its proper divisors (228734424).

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

113279976 is a wasteful number, since it uses less digits than its factorization.

113279976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4919 (or 4912 counting only the distinct ones).

The product of its digits is 142884, while the sum is 45.

The square root of 113279976 is about 10643.3066290510. The cubic root of 113279976 is about 483.8577661878.

The spelling of 113279976 in words is "one hundred thirteen million, two hundred seventy-nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 34 36 38 51 57 68 72 76 102 114 136 152 153 171 204 228 306 323 342 408 456 612 646 684 969 1224 1292 1368 1938 2584 2907 3876 4871 5814 7752 9742 11628 14613 19484 23256 29226 38968 43839 58452 82807 87678 92549 116904 165614 175356 185098 248421 277647 331228 350712 370196 496842 555294 662456 740392 745263 832941 993684 1110588 1490526 1573333 1665882 1987368 2221176 2981052 3146666 3331764 4719999 5962104 6293332 6663528 9439998 12586664 14159997 18879996 28319994 37759992 56639988 113279976