Search a number
-
+
14338520 = 2357411249
BaseRepresentation
bin110110101100…
…100111011000
3222222110202022
4312230213120
512132313040
61231154012
7232606160
oct66544730
928873668
1014338520
118103819
124975908
132c80541
141c935a0
1513d36b5
hexdac9d8

14338520 has 64 divisors (see below), whose sum is σ = 37800000. Its totient is φ = 4792320.

The previous prime is 14338501. The next prime is 14338537. The reversal of 14338520 is 2583341.

It is a self number, because there is not a number n which added to its sum of digits gives 14338520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10856 + ... + 12104.

It is an arithmetic number, because the mean of its divisors is an integer number (590625).

Almost surely, 214338520 is an apocalyptic number.

14338520 is a gapful number since it is divisible by the number (10) 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 14338520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18900000).

14338520 is an abundant number, since it is smaller than the sum of its proper divisors (23461480).

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

14338520 is a wasteful number, since it uses less digits than its factorization.

14338520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 14338520 is about 3786.6238260487. The cubic root of 14338520 is about 242.9413509269.

The spelling of 14338520 in words is "fourteen million, three hundred thirty-eight thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 574 820 1148 1249 1435 1640 2296 2498 2870 4996 5740 6245 8743 9992 11480 12490 17486 24980 34972 43715 49960 51209 69944 87430 102418 174860 204836 256045 349720 358463 409672 512090 716926 1024180 1433852 1792315 2048360 2867704 3584630 7169260 14338520