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13830912 = 28342329
BaseRepresentation
bin110100110000…
…101100000000
3222000200110000
4310300230000
512020042122
61212240000
7225363234
oct64605400
928020400
1013830912
117897407
124770000
132b33494
141ba05c4
1513330ac
hexd30b00

13830912 has 180 divisors, whose sum is σ = 44518320. Its totient is φ = 4257792.

The previous prime is 13830881. The next prime is 13830923. The reversal of 13830912 is 21903831.

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 19 ways as a sum of consecutive naturals, for example, 476914 + ... + 476942.

It is an arithmetic number, because the mean of its divisors is an integer number (247324).

Almost surely, 213830912 is an apocalyptic number.

13830912 is a gapful number since it is divisible by the number (12) 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 13830912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22259160).

13830912 is an abundant number, since it is smaller than the sum of its proper divisors (30687408).

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

13830912 is an equidigital number, since it uses as much as digits as its factorization.

13830912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 13830912 is about 3718.9934122017. The cubic root of 13830912 is about 240.0399933352.

The spelling of 13830912 in words is "thirteen million, eight hundred thirty thousand, nine hundred twelve".