Search a number
-
+
18402032 = 2411195503
BaseRepresentation
bin100011000110…
…0101011110000
31021121220211202
41012030223300
514202331112
61454230332
7312262145
oct106145360
937556752
1018402032
11a4297a0
1261b53a8
133a73c9c
1426303cc
1519376c2
hex118caf0

18402032 has 40 divisors (see below), whose sum is σ = 40949760. Its totient is φ = 7922880.

The previous prime is 18402031. The next prime is 18402073. The reversal of 18402032 is 23020481.

It is a junction number, because it is equal to n+sod(n) for n = 18401995 and 18402013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18402031) by changing a digit.

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, 593 + ... + 6095.

It is an arithmetic number, because the mean of its divisors is an integer number (1023744).

Almost surely, 218402032 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 18402032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20474880).

18402032 is an abundant number, since it is smaller than the sum of its proper divisors (22547728).

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

18402032 is a wasteful number, since it uses less digits than its factorization.

18402032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5541 (or 5535 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 18402032 is about 4289.7589675878. The cubic root of 18402032 is about 264.0109423074.

The spelling of 18402032 in words is "eighteen million, four hundred two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 836 1672 3344 5503 11006 22012 44024 60533 88048 104557 121066 209114 242132 418228 484264 836456 968528 1150127 1672912 2300254 4600508 9201016 18402032