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12269936 = 247711543
BaseRepresentation
bin101110110011…
…100101110000
3212002101012002
4232303211300
511120114221
61114553132
7206202260
oct56634560
925071162
1012269936
116a20648
1241387a8
132707b23
1418b57a0
15112580b
hexbb3970

12269936 has 40 divisors (see below), whose sum is σ = 27569664. Its totient is φ = 5181120.

The previous prime is 12269923. The next prime is 12269941. The reversal of 12269936 is 63996221.

It is a self number, because there is not a number n which added to its sum of digits gives 12269936.

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 7 ways as a sum of consecutive naturals, for example, 7181 + ... + 8723.

Almost surely, 212269936 is an apocalyptic number.

12269936 is a gapful number since it is divisible by the number (16) 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 12269936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13784832).

12269936 is an abundant number, since it is smaller than the sum of its proper divisors (15299728).

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

12269936 is a wasteful number, since it uses less digits than its factorization.

12269936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1623 counting only the distinct ones).

The product of its digits is 34992, while the sum is 38.

The square root of 12269936 is about 3502.8468422128. The cubic root of 12269936 is about 230.6467994219.

The spelling of 12269936 in words is "twelve million, two hundred sixty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 994 1136 1543 1988 3086 3976 6172 7952 10801 12344 21602 24688 43204 86408 109553 172816 219106 438212 766871 876424 1533742 1752848 3067484 6134968 12269936