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12082900 = 2252120829
BaseRepresentation
bin101110000101…
…111011010100
3211201212121211
4232011323110
511043123100
61110551204
7204463054
oct56057324
924655554
1012082900
116903075
124068504
13267095b
141867564
1510da1ba
hexb85ed4

12082900 has 18 divisors (see below), whose sum is σ = 26220110. Its totient is φ = 4833120.

The previous prime is 12082897. The next prime is 12082919. The reversal of 12082900 is 928021.

It can be written as a sum of positive squares in 3 ways, for example, as 324 + 12082576 = 18^2 + 3476^2 .

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 5 ways as a sum of consecutive naturals, for example, 60315 + ... + 60514.

Almost surely, 212082900 is an apocalyptic number.

12082900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12082900 is an abundant number, since it is smaller than the sum of its proper divisors (14137210).

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

12082900 is a wasteful number, since it uses less digits than its factorization.

12082900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120843 (or 120836 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 12082900 is about 3476.0466049810. The cubic root of 12082900 is about 229.4688436179.

The spelling of 12082900 in words is "twelve million, eighty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 120829 241658 483316 604145 1208290 2416580 3020725 6041450 12082900