Search a number
-
+
18488120 = 235766029
BaseRepresentation
bin100011010000…
…1101100111000
31021210021221012
41012201230320
514213104440
61500133052
7313101140
oct106415470
937707835
1018488120
11a488442
126237188
133aa4221
142653920
151952e65
hex11a1b38

18488120 has 32 divisors (see below), whose sum is σ = 47541600. Its totient is φ = 6338688.

The previous prime is 18488117. The next prime is 18488131. The reversal of 18488120 is 2188481.

It is a super-2 number, since 2×184881202 = 683621162268800, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 32735 + ... + 33294.

It is an arithmetic number, because the mean of its divisors is an integer number (1485675).

Almost surely, 218488120 is an apocalyptic number.

18488120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18488120 is an abundant number, since it is smaller than the sum of its proper divisors (29053480).

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

18488120 is a wasteful number, since it uses less digits than its factorization.

18488120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66047 (or 66043 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 18488120 is about 4299.7813897918. The cubic root of 18488120 is about 264.4219987906.

The spelling of 18488120 in words is "eighteen million, four hundred eighty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 66029 132058 264116 330145 462203 528232 660290 924406 1320580 1848812 2311015 2641160 3697624 4622030 9244060 18488120