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12838820 = 225727883
BaseRepresentation
bin110000111110…
…011110100100
3220011021112212
4300332132210
511241320240
61135102552
7214061651
oct60763644
926137485
1012838820
117279aa5
124371a58
132876a47
1419c2c28
1511d9165
hexc3e7a4

12838820 has 24 divisors (see below), whose sum is σ = 27029184. Its totient is φ = 5122656.

The previous prime is 12838801. The next prime is 12838877. The reversal of 12838820 is 2883821.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14099 + ... + 14981.

It is an arithmetic number, because the mean of its divisors is an integer number (1126216).

Almost surely, 212838820 is an apocalyptic number.

12838820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12838820 is an abundant number, since it is smaller than the sum of its proper divisors (14190364).

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

12838820 is a wasteful number, since it uses less digits than its factorization.

12838820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 12838820 is about 3583.1299167069. The cubic root of 12838820 is about 234.1576603272.

The spelling of 12838820 in words is "twelve million, eight hundred thirty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 727 883 1454 1766 2908 3532 3635 4415 7270 8830 14540 17660 641941 1283882 2567764 3209705 6419410 12838820