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12685820 = 2257313779
BaseRepresentation
bin110000011001…
…000111111100
3212212111200012
4300121013330
511221421240
61131522352
7212553620
oct60310774
925774605
1012685820
117185054
1242b93b8
132822204
141983180
1511a8b65
hexc191fc

12685820 has 96 divisors (see below), whose sum is σ = 32686080. Its totient is φ = 4043520.

The previous prime is 12685763. The next prime is 12685837. The reversal of 12685820 is 2858621.

12685820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160541 + ... + 160619.

It is an arithmetic number, because the mean of its divisors is an integer number (340480).

Almost surely, 212685820 is an apocalyptic number.

12685820 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 12685820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16343040).

12685820 is an abundant number, since it is smaller than the sum of its proper divisors (20000260).

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

12685820 is a wasteful number, since it uses less digits than its factorization.

12685820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 12685820 is about 3561.7158786181. The cubic root of 12685820 is about 233.2237898503.

The spelling of 12685820 in words is "twelve million, six hundred eighty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 37 62 70 74 79 124 140 148 155 158 185 217 259 310 316 370 395 434 518 553 620 740 790 868 1036 1085 1106 1147 1295 1580 2170 2212 2294 2449 2590 2765 2923 4340 4588 4898 5180 5530 5735 5846 8029 9796 11060 11470 11692 12245 14615 16058 17143 20461 22940 24490 29230 32116 34286 40145 40922 48980 58460 68572 80290 81844 85715 90613 102305 160580 171430 181226 204610 342860 362452 409220 453065 634291 906130 1268582 1812260 2537164 3171455 6342910 12685820