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14864136 = 2337103859
BaseRepresentation
bin111000101100…
…111100001000
31000222011202120
4320230330020
512301123021
61250331240
7240225450
oct70547410
930864676
1014864136
118432711
124b89b20
133105861
141d8cd60
1514892c6
hexe2cf08

14864136 has 64 divisors (see below), whose sum is σ = 42931200. Its totient is φ = 4200768.

The previous prime is 14864131. The next prime is 14864167. The reversal of 14864136 is 63146841.

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 = 14864097 and 14864106.

It is not an unprimeable number, because it can be changed into a prime (14864131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16875 + ... + 17733.

It is an arithmetic number, because the mean of its divisors is an integer number (670800).

Almost surely, 214864136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14864136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21465600).

14864136 is an abundant number, since it is smaller than the sum of its proper divisors (28067064).

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

14864136 is a wasteful number, since it uses less digits than its factorization.

14864136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 974 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 14864136 is about 3855.4034808305. The cubic root of 14864136 is about 245.8743492099.

The spelling of 14864136 in words is "fourteen million, eight hundred sixty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 103 168 206 309 412 618 721 824 859 1236 1442 1718 2163 2472 2577 2884 3436 4326 5154 5768 6013 6872 8652 10308 12026 17304 18039 20616 24052 36078 48104 72156 88477 144312 176954 265431 353908 530862 619339 707816 1061724 1238678 1858017 2123448 2477356 3716034 4954712 7432068 14864136