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12288431 = 293113669
BaseRepresentation
bin101110111000…
…000110101111
3212010022120002
4232320012233
511121212211
61115214515
7206310221
oct56700657
925108502
1012288431
116a33531
12414743b
13271337c
1418bc411
15112b03b
hexbb81af

12288431 has 8 divisors (see below), whose sum is σ = 13123200. Its totient is φ = 11481120.

The previous prime is 12288427. The next prime is 12288439. The reversal of 12288431 is 13488221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12288431 - 22 = 12288427 is a prime.

It is a super-2 number, since 2×122884312 = 302011072883522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12288394 and 12288403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12288439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5936 + ... + 7733.

It is an arithmetic number, because the mean of its divisors is an integer number (1640400).

Almost surely, 212288431 is an apocalyptic number.

12288431 is a deficient number, since it is larger than the sum of its proper divisors (834769).

12288431 is a wasteful number, since it uses less digits than its factorization.

12288431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13729.

The product of its digits is 3072, while the sum is 29.

The square root of 12288431 is about 3505.4858436456. The cubic root of 12288431 is about 230.7626291758.

The spelling of 12288431 in words is "twelve million, two hundred eighty-eight thousand, four hundred thirty-one".

Divisors: 1 29 31 899 13669 396401 423739 12288431