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12948390 = 23357131731
BaseRepresentation
bin110001011001…
…001110100110
3220100211212000
4301121032212
511303322030
61141310130
7215026260
oct61311646
926324760
1012948390
117344354
124405346
1328b4890
141a10b30
15120b860
hexc593a6

12948390 has 256 divisors, whose sum is σ = 46448640. Its totient is φ = 2488320.

The previous prime is 12948371. The next prime is 12948427. The reversal of 12948390 is 9384921.

12948390 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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 417675 + ... + 417705.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 212948390 is an apocalyptic number.

12948390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12948390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23224320).

12948390 is an abundant number, since it is smaller than the sum of its proper divisors (33500250).

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

12948390 is a wasteful number, since it uses less digits than its factorization.

12948390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 12948390 is about 3598.3871387053. The cubic root of 12948390 is about 234.8218961361.

The spelling of 12948390 in words is "twelve million, nine hundred forty-eight thousand, three hundred ninety".