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13839312 = 243401719
BaseRepresentation
bin110100110010…
…101111010000
3222001002222010
4310302233100
512020324222
61212342520
7225426564
oct64625720
928032863
1013839312
1178a2753
124774a40
132b37256
141ba36a4
15133580c
hexd32bd0

13839312 has 40 divisors (see below), whose sum is σ = 35890560. Its totient is φ = 4595200.

The previous prime is 13839311. The next prime is 13839347. The reversal of 13839312 is 21393831.

13839312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13839312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13839311) 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, 18889 + ... + 19607.

It is an arithmetic number, because the mean of its divisors is an integer number (897264).

Almost surely, 213839312 is an apocalyptic number.

13839312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13839312 is an abundant number, since it is smaller than the sum of its proper divisors (22051248).

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

13839312 is a wasteful number, since it uses less digits than its factorization.

13839312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1125 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 13839312 is about 3720.1225786256. The cubic root of 13839312 is about 240.0885784149.

The spelling of 13839312 in words is "thirteen million, eight hundred thirty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 401 719 802 1203 1438 1604 2157 2406 2876 3208 4314 4812 5752 6416 8628 9624 11504 17256 19248 34512 288319 576638 864957 1153276 1729914 2306552 3459828 4613104 6919656 13839312