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12875820 = 2235534049
BaseRepresentation
bin110001000111…
…100000101100
3220020011022020
4301013200230
511244011240
61135550140
7214304556
oct61074054
926204266
1012875820
1172a4881
12438b350
13288a839
1419d24d6
1511e50d0
hexc4782c

12875820 has 48 divisors (see below), whose sum is σ = 36741600. Its totient is φ = 3367936.

The previous prime is 12875803. The next prime is 12875839. The reversal of 12875820 is 2857821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1156 + ... + 5204.

It is an arithmetic number, because the mean of its divisors is an integer number (765450).

Almost surely, 212875820 is an apocalyptic number.

12875820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12875820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18370800).

12875820 is an abundant number, since it is smaller than the sum of its proper divisors (23865780).

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

12875820 is a wasteful number, since it uses less digits than its factorization.

12875820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4114 (or 4112 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 12875820 is about 3588.2892859969. The cubic root of 12875820 is about 234.3823830563.

It can be divided in two parts, 128758 and 20, that added together give a triangular number (128778 = T507).

The spelling of 12875820 in words is "twelve million, eight hundred seventy-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 4049 8098 12147 16196 20245 24294 40490 48588 60735 80980 121470 214597 242940 429194 643791 858388 1072985 1287582 2145970 2575164 3218955 4291940 6437910 12875820