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12993300 = 22325214437
BaseRepresentation
bin110001100100…
…001100010100
3220110010110100
4301210030110
511311241200
61142254100
7215304225
oct61441424
926403410
1012993300
117375071
124427330
1328cc158
141a2324c
151219d00
hexc64314

12993300 has 54 divisors (see below), whose sum is σ = 40729598. Its totient is φ = 3464640.

The previous prime is 12993293. The next prime is 12993301. The reversal of 12993300 is 339921.

It can be written as a sum of positive squares in 3 ways, for example, as 799236 + 12194064 = 894^2 + 3492^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12993301) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6319 + ... + 8118.

Almost surely, 212993300 is an apocalyptic number.

12993300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12993300 is an abundant number, since it is smaller than the sum of its proper divisors (27736298).

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

12993300 is a wasteful number, since it uses less digits than its factorization.

12993300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14457 (or 14447 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 12993300 is about 3604.6220328905. The cubic root of 12993300 is about 235.0930671064.

The spelling of 12993300 in words is "twelve million, nine hundred ninety-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 14437 28874 43311 57748 72185 86622 129933 144370 173244 216555 259866 288740 360925 433110 519732 649665 721850 866220 1082775 1299330 1443700 2165550 2598660 3248325 4331100 6496650 12993300