Search a number
-
+
18429120 = 2636579
BaseRepresentation
bin100011001001…
…1010011000000
31021200022000000
41012103103000
514204212440
61455000000
7312434133
oct106232300
937608000
1018429120
11a448086
126209000
133a83408
14263a21a
151940730
hex11934c0

18429120 has 196 divisors, whose sum is σ = 66629280. Its totient is φ = 4852224.

The previous prime is 18429119. The next prime is 18429133. The reversal of 18429120 is 2192481.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 233241 + ... + 233319.

Almost surely, 218429120 is an apocalyptic number.

18429120 is a gapful number since it is divisible by the number (10) 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 18429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33314640).

18429120 is an abundant number, since it is smaller than the sum of its proper divisors (48200160).

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

18429120 is an frugal number, since it uses more digits than its factorization.

18429120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 18429120 is about 4292.9150935000. The cubic root of 18429120 is about 264.1404211647.

The spelling of 18429120 in words is "eighteen million, four hundred twenty-nine thousand, one hundred twenty".