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14215684 = 2272294161
BaseRepresentation
bin110110001110…
…101000000100
3222202020020211
4312032220010
512114400214
61224405204
7231555100
oct66165004
928666224
1014215684
11802a4aa
124916804
132c39662
141c60900
1513ac0c4
hexd8ea04

14215684 has 72 divisors (see below), whose sum is σ = 31169880. Its totient is φ = 5644800.

The previous prime is 14215681. The next prime is 14215693. The reversal of 14215684 is 48651241.

It can be written as a sum of positive squares in 4 ways, for example, as 451584 + 13764100 = 672^2 + 3710^2 .

It is not an unprimeable number, because it can be changed into a prime (14215681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233014 + ... + 233074.

It is an arithmetic number, because the mean of its divisors is an integer number (432915).

Almost surely, 214215684 is an apocalyptic number.

14215684 is a gapful number since it is divisible by the number (14) 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 14215684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15584940).

14215684 is an abundant number, since it is smaller than the sum of its proper divisors (16954196).

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

14215684 is a wasteful number, since it uses less digits than its factorization.

14215684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 140 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 14215684 is about 3770.3692126899. The cubic root of 14215684 is about 242.2456127131.

It can be divided in two parts, 1421 and 5684, that multiplied together give a square (8076964 = 28422).

The spelling of 14215684 in words is "fourteen million, two hundred fifteen thousand, six hundred eighty-four".

Divisors: 1 2 4 7 14 28 29 41 49 58 61 82 98 116 122 164 196 203 244 287 406 427 574 812 854 1148 1189 1421 1708 1769 2009 2378 2501 2842 2989 3538 4018 4756 5002 5684 5978 7076 8036 8323 10004 11956 12383 16646 17507 24766 33292 35014 49532 58261 70028 72529 86681 116522 122549 145058 173362 233044 245098 290116 346724 490196 507703 1015406 2030812 3553921 7107842 14215684