Search a number
-
+
18642168 = 2332258919
BaseRepresentation
bin100011100011…
…1010011111000
31022002010020200
41013013103320
514233022133
61503322200
7314312226
oct107072370
938063220
1018642168
11a583156
1262b0360
133b2938c
142693b16
151983913
hex11c74f8

18642168 has 24 divisors (see below), whose sum is σ = 50489400. Its totient is φ = 6214032.

The previous prime is 18642163. The next prime is 18642179. The reversal of 18642168 is 86124681.

18642168 is a `hidden beast` number, since 1 + 8 + 642 + 1 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18642163) 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 5 ways as a sum of consecutive naturals, for example, 129388 + ... + 129531.

It is an arithmetic number, because the mean of its divisors is an integer number (2103725).

Almost surely, 218642168 is an apocalyptic number.

18642168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18642168 is an abundant number, since it is smaller than the sum of its proper divisors (31847232).

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

18642168 is a wasteful number, since it uses less digits than its factorization.

18642168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258931 (or 258924 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 18642168 is about 4317.6576983360. The cubic root of 18642168 is about 265.1543802012.

The spelling of 18642168 in words is "eighteen million, six hundred forty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 258919 517838 776757 1035676 1553514 2071352 2330271 3107028 4660542 6214056 9321084 18642168