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12920820 = 22351119577
BaseRepresentation
bin110001010010…
…011111110100
3220022110000220
4301102133310
511301431240
61140534340
7214553013
oct61223764
926273026
1012920820
117325670
1243b13b0
1328a5173
141a04a7a
1512035d0
hexc527f4

12920820 has 48 divisors (see below), whose sum is σ = 39469248. Its totient is φ = 3132160.

The previous prime is 12920819. The next prime is 12920821. The reversal of 12920820 is 2802921.

It is an interprime number because it is at equal distance from previous prime (12920819) and next prime (12920821).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12920821) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9129 + ... + 10448.

It is an arithmetic number, because the mean of its divisors is an integer number (822276).

Almost surely, 212920820 is an apocalyptic number.

12920820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12920820 is an abundant number, since it is smaller than the sum of its proper divisors (26548428).

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

12920820 is a wasteful number, since it uses less digits than its factorization.

12920820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19600 (or 19598 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 12920820 is about 3594.5542143637. The cubic root of 12920820 is about 234.6551150406.

The spelling of 12920820 in words is "twelve million, nine hundred twenty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 19577 39154 58731 78308 97885 117462 195770 215347 234924 293655 391540 430694 587310 646041 861388 1076735 1174620 1292082 2153470 2584164 3230205 4306940 6460410 12920820