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12268380 = 2235732801
BaseRepresentation
bin101110110011…
…001101011100
3212002022001110
4232303031130
511120042010
61114542020
7206164605
oct56631534
925068043
1012268380
116a1a463
124137910
1327071c7
1418b4dac
151125120
hexbb335c

12268380 has 48 divisors (see below), whose sum is σ = 34834464. Its totient is φ = 3225600.

The previous prime is 12268379. The next prime is 12268411. The reversal of 12268380 is 8386221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 2980 + ... + 5780.

It is an arithmetic number, because the mean of its divisors is an integer number (725718).

Almost surely, 212268380 is an apocalyptic number.

12268380 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 12268380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17417232).

12268380 is an abundant number, since it is smaller than the sum of its proper divisors (22566084).

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

12268380 is a wasteful number, since it uses less digits than its factorization.

12268380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 12268380 is about 3502.6247301131. The cubic root of 12268380 is about 230.6370492599.

The spelling of 12268380 in words is "twelve million, two hundred sixty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 2801 4380 5602 8403 11204 14005 16806 28010 33612 42015 56020 84030 168060 204473 408946 613419 817892 1022365 1226838 2044730 2453676 3067095 4089460 6134190 12268380