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14214432 = 253197793
BaseRepresentation
bin110110001110…
…010100100000
3222202011112110
4312032110200
512114330212
61224355320
7231551331
oct66162440
928664473
1014214432
118029571
124915b40
132c38c0b
141c60288
1513aba3c
hexd8e520

14214432 has 48 divisors (see below), whose sum is σ = 39281760. Its totient is φ = 4488192.

The previous prime is 14214419. The next prime is 14214439. The reversal of 14214432 is 23441241.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 14214399 and 14214408.

It is not an unprimeable number, because it can be changed into a prime (14214439) 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, 2073 + ... + 5720.

It is an arithmetic number, because the mean of its divisors is an integer number (818370).

Almost surely, 214214432 is an apocalyptic number.

14214432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14214432 is an abundant number, since it is smaller than the sum of its proper divisors (25067328).

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

14214432 is a wasteful number, since it uses less digits than its factorization.

14214432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7825 (or 7817 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 14214432 is about 3770.2031775489. The cubic root of 14214432 is about 242.2385008403.

Adding to 14214432 its reverse (23441241), we get a palindrome (37655673).

The spelling of 14214432 in words is "fourteen million, two hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 7793 15586 23379 31172 46758 62344 93516 124688 148067 187032 249376 296134 374064 444201 592268 748128 888402 1184536 1776804 2369072 3553608 4738144 7107216 14214432