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12268680 = 2335195381
BaseRepresentation
bin101110110011…
…010010001000
3212002022110120
4232303102020
511120044210
61114543240
7206165514
oct56632210
925068416
1012268680
116a1a706
124137b20
132707398
1418b5144
151125270
hexbb3488

12268680 has 64 divisors (see below), whose sum is σ = 38750400. Its totient is φ = 3098880.

The previous prime is 12268667. The next prime is 12268681. The reversal of 12268680 is 8686221.

It is not an unprimeable number, because it can be changed into a prime (12268681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 411 + ... + 4970.

It is an arithmetic number, because the mean of its divisors is an integer number (605475).

Almost surely, 212268680 is an apocalyptic number.

12268680 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 12268680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19375200).

12268680 is an abundant number, since it is smaller than the sum of its proper divisors (26481720).

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

12268680 is a wasteful number, since it uses less digits than its factorization.

12268680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5414 (or 5410 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 12268680 is about 3502.6675548787. The cubic root of 12268680 is about 230.6389291754.

The spelling of 12268680 in words is "twelve million, two hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 5381 10762 16143 21524 26905 32286 43048 53810 64572 80715 102239 107620 129144 161430 204478 215240 306717 322860 408956 511195 613434 645720 817912 1022390 1226868 1533585 2044780 2453736 3067170 4089560 6134340 12268680