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112880664 = 233213831453
BaseRepresentation
bin1101011101001…
…10110000011000
321212101221011100
412232212300120
5212344140124
615111231400
72540320101
oct656466030
9255357140
10112880664
1158799a06
1231978560
131a5035c0
1410dc53a8
159d9b1c9
hex6ba6c18

112880664 has 96 divisors (see below), whose sum is σ = 333431280. Its totient is φ = 34290432.

The previous prime is 112880639. The next prime is 112880671. The reversal of 112880664 is 466088211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76962 + ... + 78414.

Almost surely, 2112880664 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 112880664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166715640).

112880664 is an abundant number, since it is smaller than the sum of its proper divisors (220550616).

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

112880664 is a wasteful number, since it uses less digits than its factorization.

112880664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 112880664 is about 10624.5312367182. The cubic root of 112880664 is about 483.2885638543.

The spelling of 112880664 in words is "one hundred twelve million, eight hundred eighty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 83 104 117 156 166 234 249 312 332 468 498 664 747 936 996 1079 1453 1494 1992 2158 2906 2988 3237 4316 4359 5812 5976 6474 8632 8718 9711 11624 12948 13077 17436 18889 19422 25896 26154 34872 37778 38844 52308 56667 75556 77688 104616 113334 120599 151112 170001 226668 241198 340002 361797 453336 482396 680004 723594 964792 1085391 1360008 1447188 1567787 2170782 2894376 3135574 4341564 4703361 6271148 8683128 9406722 12542296 14110083 18813444 28220166 37626888 56440332 112880664