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14661990 = 2325717372
BaseRepresentation
bin110111111011…
…100101100110
31000120220110200
4313323211212
512223140430
61242131330
7235424220
oct67734546
930526420
1014661990
118304852
124ab0b46
133064845
141d39410
151449460
hexdfb966

14661990 has 144 divisors (see below), whose sum is σ = 47410272. Its totient is φ = 3068928.

The previous prime is 14661989. The next prime is 14662001. The reversal of 14661990 is 9916641.

14661990 is a `hidden beast` number, since 1 + 466 + 199 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 396252 + ... + 396288.

It is an arithmetic number, because the mean of its divisors is an integer number (329238).

Almost surely, 214661990 is an apocalyptic number.

14661990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14661990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23705136).

14661990 is an abundant number, since it is smaller than the sum of its proper divisors (32748282).

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

14661990 is a wasteful number, since it uses less digits than its factorization.

14661990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 14661990 is about 3829.0978049666. The cubic root of 14661990 is about 244.7546620831.

It can be divided in two parts, 14661 and 990, that added together give a palindrome (15651).

The spelling of 14661990 in words is "fourteen million, six hundred sixty-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 37 42 45 51 63 70 74 85 90 102 105 111 119 126 153 170 185 210 222 238 255 259 306 315 333 357 370 510 518 555 595 629 630 666 714 765 777 1071 1110 1190 1258 1295 1369 1530 1554 1665 1785 1887 2142 2331 2590 2738 3145 3330 3570 3774 3885 4107 4403 4662 5355 5661 6290 6845 7770 8214 8806 9435 9583 10710 11322 11655 12321 13209 13690 18870 19166 20535 22015 23273 23310 24642 26418 28305 28749 39627 41070 44030 46546 47915 56610 57498 61605 66045 69819 79254 86247 95830 116365 123210 132090 139638 143745 162911 172494 198135 209457 232730 287490 325822 349095 396270 418914 431235 488733 698190 814555 862470 977466 1047285 1466199 1629110 2094570 2443665 2932398 4887330 7330995 14661990