Search a number
-
+
14381892 = 22327231263
BaseRepresentation
bin110110110111…
…001101000100
31000001200020200
4312313031010
512140210032
61232130500
7233146500
oct66671504
930050220
1014381892
118133368
124996a30
132c971c5
141ca5300
1513e147c
hexdb7344

14381892 has 108 divisors (see below), whose sum is σ = 43819776. Its totient is φ = 3961440.

The previous prime is 14381891. The next prime is 14381893. The reversal of 14381892 is 29818341.

It is an interprime number because it is at equal distance from previous prime (14381891) and next prime (14381893).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (14381891) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 54553 + ... + 54815.

Almost surely, 214381892 is an apocalyptic number.

14381892 is a gapful number since it is divisible by the number (12) 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 14381892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21909888).

14381892 is an abundant number, since it is smaller than the sum of its proper divisors (29437884).

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

14381892 is a wasteful number, since it uses less digits than its factorization.

14381892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 306 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 14381892 is about 3792.3465031561. The cubic root of 14381892 is about 243.1860587937.

The spelling of 14381892 in words is "fourteen million, three hundred eighty-one thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 49 62 63 84 93 98 124 126 147 186 196 217 252 263 279 294 372 434 441 526 558 588 651 789 868 882 1052 1116 1302 1519 1578 1764 1841 1953 2367 2604 3038 3156 3682 3906 4557 4734 5523 6076 7364 7812 8153 9114 9468 11046 12887 13671 16306 16569 18228 22092 24459 25774 27342 32612 33138 38661 48918 51548 54684 57071 66276 73377 77322 97836 114142 115983 146754 154644 171213 228284 231966 293508 342426 399497 463932 513639 684852 798994 1027278 1198491 1597988 2054556 2396982 3595473 4793964 7190946 14381892