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12932820 = 2232571849
BaseRepresentation
bin110001010101…
…011011010100
3220100001111100
4301111123110
511302322240
61141110100
7214633005
oct61253324
926301440
1012932820
11733368a
1243b8330
1328aa774
141a091ac
151206e30
hexc556d4

12932820 has 36 divisors (see below), whose sum is σ = 39230100. Its totient is φ = 3448704.

The previous prime is 12932819. The next prime is 12932833. The reversal of 12932820 is 2823921.

It is a happy number.

12932820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10150596 + 2782224 = 3186^2 + 1668^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35745 + ... + 36104.

It is an arithmetic number, because the mean of its divisors is an integer number (1089725).

Almost surely, 212932820 is an apocalyptic number.

12932820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12932820 is an abundant number, since it is smaller than the sum of its proper divisors (26297280).

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

12932820 is a wasteful number, since it uses less digits than its factorization.

12932820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71864 (or 71859 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12932820 is about 3596.2230186683. The cubic root of 12932820 is about 234.7277365951.

The spelling of 12932820 in words is "twelve million, nine hundred thirty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 71849 143698 215547 287396 359245 431094 646641 718490 862188 1077735 1293282 1436980 2155470 2586564 3233205 4310940 6466410 12932820