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12678900 = 22352133251
BaseRepresentation
bin110000010111…
…011011110100
3212212011011220
4300113123310
511221211100
61131430340
7212524503
oct60273364
925764156
1012678900
11717a933
1242b53b0
13281c010
14198083a
1511a6aa0
hexc176f4

12678900 has 72 divisors (see below), whose sum is σ = 39518304. Its totient is φ = 3120000.

The previous prime is 12678899. The next prime is 12678929. The reversal of 12678900 is 987621.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2275 + ... + 5525.

Almost surely, 212678900 is an apocalyptic number.

12678900 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 12678900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19759152).

12678900 is an abundant number, since it is smaller than the sum of its proper divisors (26839404).

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

12678900 is a wasteful number, since it uses less digits than its factorization.

12678900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 12678900 is about 3560.7443042151. The cubic root of 12678900 is about 233.1813749815.

The spelling of 12678900 in words is "twelve million, six hundred seventy-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3251 3900 6502 9753 13004 16255 19506 32510 39012 42263 48765 65020 81275 84526 97530 126789 162550 169052 195060 211315 243825 253578 325100 422630 487650 507156 633945 845260 975300 1056575 1267890 2113150 2535780 3169725 4226300 6339450 12678900