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12331680 = 2535231117
BaseRepresentation
bin101111000010…
…101010100000
3212012111212220
4233002222200
511124103210
61120151040
7206550264
oct57025240
925174786
1012331680
116a62a79
124168480
132729c6a
1418d00a4
151138c70
hexbc2aa0

12331680 has 96 divisors (see below), whose sum is σ = 40569984. Its totient is φ = 3142656.

The previous prime is 12331679. The next prime is 12331723. The reversal of 12331680 is 8613321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12331680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10482 + ... + 11598.

It is an arithmetic number, because the mean of its divisors is an integer number (422604).

Almost surely, 212331680 is an apocalyptic number.

12331680 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 12331680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20284992).

12331680 is an abundant number, since it is smaller than the sum of its proper divisors (28238304).

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

12331680 is a wasteful number, since it uses less digits than its factorization.

12331680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 12331680 is about 3511.6491852120. The cubic root of 12331680 is about 231.0330343866.

The spelling of 12331680 in words is "twelve million, three hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1117 1380 1840 2208 2234 2760 3351 3680 4468 5520 5585 6702 8936 11040 11170 13404 16755 17872 22340 25691 26808 33510 35744 44680 51382 53616 67020 77073 89360 102764 107232 128455 134040 154146 178720 205528 256910 268080 308292 385365 411056 513820 536160 616584 770730 822112 1027640 1233168 1541460 2055280 2466336 3082920 4110560 6165840 12331680