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12356420 = 2255311657
BaseRepresentation
bin101111001000…
…101101000100
3212020202211012
4233020231010
511130401140
61120501352
7210012356
oct57105504
925222735
1012356420
116a7a61a
12417a858
1327382bb
1418d90d6
151141265
hexbc8b44

12356420 has 24 divisors (see below), whose sum is σ = 26440344. Its totient is φ = 4848896.

The previous prime is 12356417. The next prime is 12356423. The reversal of 12356420 is 2465321.

It is an interprime number because it is at equal distance from previous prime (12356417) and next prime (12356423).

It can be written as a sum of positive squares in 4 ways, for example, as 3452164 + 8904256 = 1858^2 + 2984^2 .

It is a super-2 number, since 2×123564202 = 305362230432800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12356423) 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 7 ways as a sum of consecutive naturals, for example, 4769 + ... + 6888.

It is an arithmetic number, because the mean of its divisors is an integer number (1101681).

Almost surely, 212356420 is an apocalyptic number.

12356420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12356420 is an abundant number, since it is smaller than the sum of its proper divisors (14083924).

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

12356420 is a wasteful number, since it uses less digits than its factorization.

12356420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11719 (or 11717 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 12356420 is about 3515.1699816652. The cubic root of 12356420 is about 231.1874318188.

The spelling of 12356420 in words is "twelve million, three hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 11657 23314 46628 58285 116570 233140 617821 1235642 2471284 3089105 6178210 12356420