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18128304 = 2432312131
BaseRepresentation
bin100010100100…
…1110110110000
31021010000100200
41011021312300
514120101204
61444315200
7310042125
oct105116660
937100320
1018128304
11a262077
1260a2b00
1339a950c
14259c74c
1518d1539
hex1149db0

18128304 has 90 divisors (see below), whose sum is σ = 52823628. Its totient is φ = 5803200.

The previous prime is 18128287. The next prime is 18128311. The reversal of 18128304 is 40382181.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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 17 ways as a sum of consecutive naturals, for example, 138319 + ... + 138449.

Almost surely, 218128304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18128304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26411814).

18128304 is an abundant number, since it is smaller than the sum of its proper divisors (34695324).

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

18128304 is a wasteful number, since it uses less digits than its factorization.

18128304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 18128304 is about 4257.7346089206. The cubic root of 18128304 is about 262.6953539002.

The spelling of 18128304 in words is "eighteen million, one hundred twenty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 131 144 186 248 262 279 372 393 496 524 558 744 786 961 1048 1116 1179 1488 1572 1922 2096 2232 2358 2883 3144 3844 4061 4464 4716 5766 6288 7688 8122 8649 9432 11532 12183 15376 16244 17298 18864 23064 24366 32488 34596 36549 46128 48732 64976 69192 73098 97464 125891 138384 146196 194928 251782 292392 377673 503564 584784 755346 1007128 1133019 1510692 2014256 2266038 3021384 4532076 6042768 9064152 18128304