Search a number
-
+
18332104 = 2372343331
BaseRepresentation
bin100010111101…
…1100111001000
31021111100220211
41011323213020
514143111404
61452530504
7311551240
oct105734710
937440824
1018332104
11a3911aa
126180a34
133a4b1cb
142612b20
151921b04
hex117b9c8

18332104 has 64 divisors (see below), whose sum is σ = 42071040. Its totient is φ = 7318080.

The previous prime is 18332101. The next prime is 18332113. The reversal of 18332104 is 40123381.

18332104 = T139 + T140 + ... + T482.

It is not an unprimeable number, because it can be changed into a prime (18332101) 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 15 ways as a sum of consecutive naturals, for example, 55219 + ... + 55549.

It is an arithmetic number, because the mean of its divisors is an integer number (657360).

Almost surely, 218332104 is an apocalyptic number.

18332104 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 18332104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21035520).

18332104 is an abundant number, since it is smaller than the sum of its proper divisors (23738936).

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

18332104 is a wasteful number, since it uses less digits than its factorization.

18332104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 18332104 is about 4281.6006352765. The cubic root of 18332104 is about 263.6761026250.

Adding to 18332104 its reverse (40123381), we get a palindrome (58455485).

The spelling of 18332104 in words is "eighteen million, three hundred thirty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 14 23 28 43 46 56 86 92 161 172 184 301 322 331 344 602 644 662 989 1204 1288 1324 1978 2317 2408 2648 3956 4634 6923 7613 7912 9268 13846 14233 15226 18536 27692 28466 30452 53291 55384 56932 60904 99631 106582 113864 199262 213164 327359 398524 426328 654718 797048 1309436 2291513 2618872 4583026 9166052 18332104