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12725820 = 2232519612
BaseRepresentation
bin110000100010…
…111000111100
3212221112112200
4300202320330
511224211240
61132431500
7213111342
oct60427074
925845480
1012725820
117202108
124318590
132837493
141993992
1511b5930
hexc22e3c

12725820 has 108 divisors (see below), whose sum is σ = 41310360. Its totient is φ = 3162240.

The previous prime is 12725819. The next prime is 12725821. The reversal of 12725820 is 2852721.

12725820 is a `hidden beast` number, since 12 + 72 + 582 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12725819) and next prime (12725821).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12725821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 208590 + ... + 208650.

Almost surely, 212725820 is an apocalyptic number.

12725820 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 12725820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20655180).

12725820 is an abundant number, since it is smaller than the sum of its proper divisors (28584540).

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

12725820 is a wasteful number, since it uses less digits than its factorization.

12725820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 12725820 is about 3567.3267302001. The cubic root of 12725820 is about 233.4686607274.

The spelling of 12725820 in words is "twelve million, seven hundred twenty-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 61 76 90 95 114 122 171 180 183 190 228 244 285 305 342 366 380 549 570 610 684 732 855 915 1098 1140 1159 1220 1710 1830 2196 2318 2745 3420 3477 3660 3721 4636 5490 5795 6954 7442 10431 10980 11163 11590 13908 14884 17385 18605 20862 22326 23180 33489 34770 37210 41724 44652 52155 55815 66978 69540 70699 74420 104310 111630 133956 141398 167445 208620 212097 223260 282796 334890 353495 424194 636291 669780 706990 848388 1060485 1272582 1413980 2120970 2545164 3181455 4241940 6362910 12725820