Search a number
-
+
18186420 = 22357194353
BaseRepresentation
bin100010101100…
…0000010110100
31021012222002010
41011120002310
514123431140
61445444220
7310403430
oct105300264
937188063
1018186420
11a2a17aa
126110670
1339c9ac5
1425b59c0
1518e3880
hex11580b4

18186420 has 192 divisors, whose sum is σ = 63866880. Its totient is φ = 3773952.

The previous prime is 18186403. The next prime is 18186431. The reversal of 18186420 is 2468181.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 343114 + ... + 343166.

It is an arithmetic number, because the mean of its divisors is an integer number (332640).

Almost surely, 218186420 is an apocalyptic number.

18186420 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 18186420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31933440).

18186420 is an abundant number, since it is smaller than the sum of its proper divisors (45680460).

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

18186420 is a wasteful number, since it uses less digits than its factorization.

18186420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 18186420 is about 4264.5539039857. The cubic root of 18186420 is about 262.9757720794.

The spelling of 18186420 in words is "eighteen million, one hundred eighty-six thousand, four hundred twenty".