Search a number
-
+
18419120 = 245230239
BaseRepresentation
bin100011001000…
…0110110110000
31021122210021122
41012100312300
514203402440
61454441412
7312363026
oct106206660
937583248
1018419120
11a440615
126203268
133a7b9b5
142636716
15193c7b5
hex1190db0

18419120 has 20 divisors (see below), whose sum is σ = 42824640. Its totient is φ = 7367616.

The previous prime is 18419119. The next prime is 18419129. The reversal of 18419120 is 2191481.

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 18419120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18419129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 115040 + ... + 115199.

It is an arithmetic number, because the mean of its divisors is an integer number (2141232).

Almost surely, 218419120 is an apocalyptic number.

18419120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18419120 is an abundant number, since it is smaller than the sum of its proper divisors (24405520).

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

18419120 is a wasteful number, since it uses less digits than its factorization.

18419120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230252 (or 230246 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 18419120 is about 4291.7502257238. The cubic root of 18419120 is about 264.0926366058.

The spelling of 18419120 in words is "eighteen million, four hundred nineteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 230239 460478 920956 1151195 1841912 2302390 3683824 4604780 9209560 18419120