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12923820 = 22335713263
BaseRepresentation
bin110001010011…
…001110101100
3220022121011000
4301103032230
511302030240
61141000300
7214564530
oct61231654
926277130
1012923820
117327948
1243b3090
1328a6640
141a05bc0
151204430
hexc533ac

12923820 has 192 divisors, whose sum is σ = 49674240. Its totient is φ = 2716416.

The previous prime is 12923809. The next prime is 12923839. The reversal of 12923820 is 2832921.

It is a happy number.

12923820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49009 + ... + 49271.

It is an arithmetic number, because the mean of its divisors is an integer number (258720).

Almost surely, 212923820 is an apocalyptic number.

12923820 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 12923820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24837120).

12923820 is an abundant number, since it is smaller than the sum of its proper divisors (36750420).

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

12923820 is a wasteful number, since it uses less digits than its factorization.

12923820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12923820 is about 3594.9714880650. The cubic root of 12923820 is about 234.6732746432.

The spelling of 12923820 in words is "twelve million, nine hundred twenty-three thousand, eight hundred twenty".