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12869100 = 22325279181
BaseRepresentation
bin110001000101…
…110111101100
3220012211002100
4301011313230
511243302400
61135455100
7214246146
oct61056754
926184070
1012869100
11729a822
124387490
13288776a
1419cdc96
1511e3100
hexc45dec

12869100 has 108 divisors (see below), whose sum is σ = 41073760. Its totient is φ = 3369600.

The previous prime is 12869071. The next prime is 12869111. The reversal of 12869100 is 196821.

It is a super-2 number, since 2×128691002 = 331227469620000, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 71010 + ... + 71190.

Almost surely, 212869100 is an apocalyptic number.

12869100 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 12869100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20536880).

12869100 is an abundant number, since it is smaller than the sum of its proper divisors (28204660).

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

12869100 is a wasteful number, since it uses less digits than its factorization.

12869100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 12869100 is about 3587.3527844359. The cubic root of 12869100 is about 234.3416005740.

The spelling of 12869100 in words is "twelve million, eight hundred sixty-nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 79 90 100 150 158 180 181 225 237 300 316 362 395 450 474 543 711 724 790 900 905 948 1086 1185 1422 1580 1629 1810 1975 2172 2370 2715 2844 3258 3555 3620 3950 4525 4740 5430 5925 6516 7110 7900 8145 9050 10860 11850 13575 14220 14299 16290 17775 18100 23700 27150 28598 32580 35550 40725 42897 54300 57196 71100 71495 81450 85794 128691 142990 162900 171588 214485 257382 285980 357475 428970 514764 643455 714950 857940 1072425 1286910 1429900 2144850 2573820 3217275 4289700 6434550 12869100