Search a number
-
+
18402096 = 2433183149
BaseRepresentation
bin100011000110…
…0101100110000
31021121220221010
41012030230300
514202331341
61454230520
7312262266
oct106145460
937556833
1018402096
11a429849
1261b5440
133a7401b
142630436
151937716
hex118cb30

18402096 has 80 divisors (see below), whose sum is σ = 49996800. Its totient is φ = 5825280.

The previous prime is 18402079. The next prime is 18402101. The reversal of 18402096 is 69020481.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123430 + ... + 123578.

It is an arithmetic number, because the mean of its divisors is an integer number (624960).

Almost surely, 218402096 is an apocalyptic number.

18402096 is a gapful number since it is divisible by the number (16) 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 18402096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24998400).

18402096 is an abundant number, since it is smaller than the sum of its proper divisors (31594704).

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

18402096 is a wasteful number, since it uses less digits than its factorization.

18402096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 18402096 is about 4289.7664272079. The cubic root of 18402096 is about 264.0112483729.

The spelling of 18402096 in words is "eighteen million, four hundred two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 83 93 124 149 166 186 248 249 298 332 372 447 496 498 596 664 744 894 996 1192 1328 1488 1788 1992 2384 2573 3576 3984 4619 5146 7152 7719 9238 10292 12367 13857 15438 18476 20584 24734 27714 30876 36952 37101 41168 49468 55428 61752 73904 74202 98936 110856 123504 148404 197872 221712 296808 383377 593616 766754 1150131 1533508 2300262 3067016 4600524 6134032 9201048 18402096