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12903660 = 22325731119
BaseRepresentation
bin110001001110…
…010011101100
3220021120111100
4301032103230
511300404120
61140323100
7214452000
oct61162354
926246440
1012903660
117313790
1243a3490
13289a403
1419dc700
1511ed490
hexc4e4ec

12903660 has 288 divisors, whose sum is σ = 52416000. Its totient is φ = 2540160.

The previous prime is 12903647. The next prime is 12903703. The reversal of 12903660 is 6630921.

It is a happy number.

12903660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 679131 + ... + 679149.

It is an arithmetic number, because the mean of its divisors is an integer number (182000).

Almost surely, 212903660 is an apocalyptic number.

12903660 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 12903660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26208000).

12903660 is an abundant number, since it is smaller than the sum of its proper divisors (39512340).

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

12903660 is a wasteful number, since it uses less digits than its factorization.

12903660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 12903660 is about 3592.1664772112. The cubic root of 12903660 is about 234.5511880533.

It can be divided in two parts, 1290 and 3660, that added together give a triangular number (4950 = T99).

The spelling of 12903660 in words is "twelve million, nine hundred three thousand, six hundred sixty".