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12993980 = 225679697
BaseRepresentation
bin110001100100…
…010110111100
3220110011101112
4301210112330
511311301410
61142301152
7215306216
oct61442674
926404345
1012993980
11737562a
1244277b8
1328cc55c
141a235b6
15121a105
hexc645bc

12993980 has 24 divisors (see below), whose sum is σ = 27697488. Its totient is φ = 5119488.

The previous prime is 12993979. The next prime is 12993989. The reversal of 12993980 is 8939921.

12993980 = T589 + T590 + ... + T655.

12993980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12993989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3509 + ... + 6188.

It is an arithmetic number, because the mean of its divisors is an integer number (1154062).

Almost surely, 212993980 is an apocalyptic number.

12993980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12993980 is an abundant number, since it is smaller than the sum of its proper divisors (14703508).

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

12993980 is a wasteful number, since it uses less digits than its factorization.

12993980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9773 (or 9771 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 41.

The square root of 12993980 is about 3604.7163549994. The cubic root of 12993980 is about 235.0971682071.

The spelling of 12993980 in words is "twelve million, nine hundred ninety-three thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 67 134 268 335 670 1340 9697 19394 38788 48485 96970 193940 649699 1299398 2598796 3248495 6496990 12993980