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14139432 = 2332434567
BaseRepresentation
bin110101111100…
…000000101000
3222121100122200
4311330000220
512104430212
61223020200
7231116556
oct65740050
928540580
1014139432
117a8818a
12489a660
132c10a38
141c40bd6
1513946dc
hexd7c028

14139432 has 48 divisors (see below), whose sum is σ = 39193440. Its totient is φ = 4602528.

The previous prime is 14139431. The next prime is 14139449. The reversal of 14139432 is 23493141.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14139396 and 14139405.

It is not an unprimeable number, because it can be changed into a prime (14139431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 813 + ... + 5379.

It is an arithmetic number, because the mean of its divisors is an integer number (816530).

Almost surely, 214139432 is an apocalyptic number.

14139432 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 14139432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19596720).

14139432 is an abundant number, since it is smaller than the sum of its proper divisors (25054008).

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

14139432 is a wasteful number, since it uses less digits than its factorization.

14139432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4622 (or 4615 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 14139432 is about 3760.2436091296. The cubic root of 14139432 is about 241.8117060916.

The spelling of 14139432 in words is "fourteen million, one hundred thirty-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 4567 9134 13701 18268 27402 36536 41103 54804 82206 109608 164412 196381 328824 392762 589143 785524 1178286 1571048 1767429 2356572 3534858 4713144 7069716 14139432