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12268509 = 31117191151
BaseRepresentation
bin101110110011…
…001111011101
3212002022020020
4232303033131
511120043014
61114542353
7206165151
oct56631735
925068206
1012268509
116a1a570
1241379b9
132707296
1418b5061
1511251a9
hexbb33dd

12268509 has 32 divisors (see below), whose sum is σ = 19906560. Its totient is φ = 6624000.

The previous prime is 12268489. The next prime is 12268541. The reversal of 12268509 is 90586221.

It is not a de Polignac number, because 12268509 - 28 = 12268253 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 12268509.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12268559) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10084 + ... + 11234.

It is an arithmetic number, because the mean of its divisors is an integer number (622080).

Almost surely, 212268509 is an apocalyptic number.

12268509 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

12268509 is a deficient number, since it is larger than the sum of its proper divisors (7638051).

12268509 is a wasteful number, since it uses less digits than its factorization.

12268509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 12268509 is about 3502.6431448265. The cubic root of 12268509 is about 230.6378576273.

The spelling of 12268509 in words is "twelve million, two hundred sixty-eight thousand, five hundred nine".

Divisors: 1 3 11 17 19 33 51 57 187 209 323 561 627 969 1151 3453 3553 10659 12661 19567 21869 37983 58701 65607 215237 240559 371773 645711 721677 1115319 4089503 12268509