Search a number
-
+
18669924 = 223271341139
BaseRepresentation
bin100011100111…
…0000101100100
31022010112022200
41013032011210
514234414144
61504054500
7314456160
oct107160544
938115280
1018669924
11a5a1a99
126304430
133b38bc0
14269dca0
15198bc69
hex11ce164

18669924 has 144 divisors (see below), whose sum is σ = 59928960. Its totient is φ = 4769280.

The previous prime is 18669907. The next prime is 18669943. The reversal of 18669924 is 42996681.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 18669924.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 134247 + ... + 134385.

Almost surely, 218669924 is an apocalyptic number.

18669924 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 18669924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29964480).

18669924 is an abundant number, since it is smaller than the sum of its proper divisors (41259036).

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

18669924 is a wasteful number, since it uses less digits than its factorization.

18669924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 205 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 18669924 is about 4320.8707455790. The cubic root of 18669924 is about 265.2859095286.

The spelling of 18669924 in words is "eighteen million, six hundred sixty-nine thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 41 42 52 63 78 82 84 91 117 123 126 139 156 164 182 234 246 252 273 278 287 364 369 417 468 492 533 546 556 574 738 819 834 861 973 1066 1092 1148 1251 1476 1599 1638 1668 1722 1807 1946 2132 2502 2583 2919 3198 3276 3444 3614 3731 3892 4797 5004 5166 5421 5699 5838 6396 7228 7462 8757 9594 10332 10842 11193 11398 11676 12649 14924 16263 17097 17514 19188 21684 22386 22796 25298 32526 33579 34194 35028 37947 39893 44772 50596 51291 65052 67158 68388 74087 75894 79786 102582 113841 119679 134316 148174 151788 159572 205164 222261 227682 239358 296348 359037 444522 455364 478716 518609 666783 718074 889044 1037218 1333566 1436148 1555827 2074436 2667132 3111654 4667481 6223308 9334962 18669924