Search a number
-
+
18620 = 2257219
BaseRepresentation
bin100100010111100
3221112122
410202330
51043440
6222112
7105200
oct44274
927478
1018620
1112a98
12a938
138624
146b00
1557b5
hex48bc

18620 has 36 divisors (see below), whose sum is σ = 47880. Its totient is φ = 6048.

The previous prime is 18617. The next prime is 18637. The reversal of 18620 is 2681.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is an Ulam number.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 971 + ... + 989.

It is an arithmetic number, because the mean of its divisors is an integer number (1330).

218620 is an apocalyptic number.

18620 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 18620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23940).

18620 is an abundant number, since it is smaller than the sum of its proper divisors (29260).

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

18620 is a wasteful number, since it uses less digits than its factorization.

18620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 18620 is about 136.4551208273. The cubic root of 18620 is about 26.5049237321.

The spelling of 18620 in words is "eighteen thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 380 490 532 665 931 980 1330 1862 2660 3724 4655 9310 18620