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12420816 = 243298923
BaseRepresentation
bin101111011000…
…011011010000
3212101001011020
4233120123100
511134431231
61122115440
7210401202
oct57303320
925331136
1012420816
117013a41
1241abb80
13275b6c5
141914772
151155396
hexbd86d0

12420816 has 40 divisors (see below), whose sum is σ = 33197280. Its totient is φ = 3997056.

The previous prime is 12420791. The next prime is 12420823. The reversal of 12420816 is 61802421.

12420816 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3070 + ... + 5853.

It is an arithmetic number, because the mean of its divisors is an integer number (829932).

Almost surely, 212420816 is an apocalyptic number.

12420816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12420816 is an abundant number, since it is smaller than the sum of its proper divisors (20776464).

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

12420816 is a wasteful number, since it uses less digits than its factorization.

12420816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8963 (or 8957 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12420816 is about 3524.3178063279. The cubic root of 12420816 is about 231.5883504809.

The spelling of 12420816 in words is "twelve million, four hundred twenty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 8923 17846 26769 35692 53538 71384 107076 142768 214152 258767 428304 517534 776301 1035068 1552602 2070136 3105204 4140272 6210408 12420816