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12868700 = 22521319521
BaseRepresentation
bin110001000101…
…110001011100
3220012210112112
4301011301130
511243244300
61135453152
7214245035
oct61056134
926183475
1012868700
11729a499
1243871b8
132887520
1419cda8c
1511e2e35
hexc45c5c

12868700 has 72 divisors (see below), whose sum is σ = 31716720. Its totient is φ = 4492800.

The previous prime is 12868697. The next prime is 12868727. The reversal of 12868700 is 786821.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24440 + ... + 24960.

It is an arithmetic number, because the mean of its divisors is an integer number (440510).

Almost surely, 212868700 is an apocalyptic number.

12868700 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 12868700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15858360).

12868700 is an abundant number, since it is smaller than the sum of its proper divisors (18848020).

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

12868700 is a wasteful number, since it uses less digits than its factorization.

12868700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 12868700 is about 3587.2970325860. The cubic root of 12868700 is about 234.3391725976.

The spelling of 12868700 in words is "twelve million, eight hundred sixty-eight thousand, seven hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 190 247 260 325 380 475 494 521 650 950 988 1042 1235 1300 1900 2084 2470 2605 4940 5210 6175 6773 9899 10420 12350 13025 13546 19798 24700 26050 27092 33865 39596 49495 52100 67730 98990 128687 135460 169325 197980 247475 257374 338650 494950 514748 643435 677300 989900 1286870 2573740 3217175 6434350 12868700