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12538200 = 2335220897
BaseRepresentation
bin101111110101…
…000101011000
3212121000011210
4233311011120
511202210300
61124423120
7211400343
oct57650530
925530153
1012538200
117094154
124247aa0
13279cc6c
14194545a
15117a050
hexbf5158

12538200 has 48 divisors (see below), whose sum is σ = 38870280. Its totient is φ = 3343360.

The previous prime is 12538199. The next prime is 12538223. The reversal of 12538200 is 283521.

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 11 ways as a sum of consecutive naturals, for example, 9849 + ... + 11048.

Almost surely, 212538200 is an apocalyptic number.

12538200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12538200 is an abundant number, since it is smaller than the sum of its proper divisors (26332080).

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

12538200 is a wasteful number, since it uses less digits than its factorization.

12538200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20916 (or 20907 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 12538200 is about 3540.9320806816. The cubic root of 12538200 is about 232.3156128553.

It can be divided in two parts, 1253 and 8200, that added together give a triangular number (9453 = T137).

The spelling of 12538200 in words is "twelve million, five hundred thirty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 20897 41794 62691 83588 104485 125382 167176 208970 250764 313455 417940 501528 522425 626910 835880 1044850 1253820 1567275 2089700 2507640 3134550 4179400 6269100 12538200