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12903200 = 25521272
BaseRepresentation
bin110001001110…
…001100100000
3220021112212022
4301032030200
511300400300
61140321012
7214450442
oct61161440
926245768
1012903200
117313402
1243a3168
13289a13b
1419dc492
1511ed285
hexc4e320

12903200 has 54 divisors (see below), whose sum is σ = 31749921. Its totient is φ = 5120640.

The previous prime is 12903197. The next prime is 12903211. The reversal of 12903200 is 230921.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 12645136 + 258064 = 3556^2 + 508^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2540.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 101537 + ... + 101663.

Almost surely, 212903200 is an apocalyptic number.

12903200 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 12903200

12903200 is an abundant number, since it is smaller than the sum of its proper divisors (18846721).

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

12903200 is an equidigital number, since it uses as much as digits as its factorization.

12903200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 12903200 is about 3592.1024484277. The cubic root of 12903200 is about 234.5484008640.

The spelling of 12903200 in words is "twelve million, nine hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 127 160 200 254 400 508 635 800 1016 1270 2032 2540 3175 4064 5080 6350 10160 12700 16129 20320 25400 32258 50800 64516 80645 101600 129032 161290 258064 322580 403225 516128 645160 806450 1290320 1612900 2580640 3225800 6451600 12903200