Search a number
-
+
13985784 = 2334113191
BaseRepresentation
bin110101010110…
…011111111000
3222022112220000
4311112133320
512040021114
61215433000
7226606611
oct65263770
928275800
1013985784
1179927aa
124825760
132b88b17
141c00c08
151363e09
hexd567f8

13985784 has 80 divisors (see below), whose sum is σ = 39726720. Its totient is φ = 4596480.

The previous prime is 13985761. The next prime is 13985813. The reversal of 13985784 is 48758931.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73129 + ... + 73319.

It is an arithmetic number, because the mean of its divisors is an integer number (496584).

Almost surely, 213985784 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 13985784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19863360).

13985784 is an abundant number, since it is smaller than the sum of its proper divisors (25740936).

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

13985784 is a wasteful number, since it uses less digits than its factorization.

13985784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 309 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 13985784 is about 3739.7572113708. The cubic root of 13985784 is about 240.9326212127.

The spelling of 13985784 in words is "thirteen million, nine hundred eighty-five thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 113 162 191 216 226 324 339 382 452 573 648 678 764 904 1017 1146 1356 1528 1719 2034 2292 2712 3051 3438 4068 4584 5157 6102 6876 8136 9153 10314 12204 13752 15471 18306 20628 21583 24408 30942 36612 41256 43166 61884 64749 73224 86332 123768 129498 172664 194247 258996 388494 517992 582741 776988 1165482 1553976 1748223 2330964 3496446 4661928 6992892 13985784