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15620 = 2251171
BaseRepresentation
bin11110100000100
3210102112
43310010
5444440
6200152
763353
oct36404
923375
1015620
1110810
129058
137157
14599a
154965
hex3d04

15620 has 24 divisors (see below), whose sum is σ = 36288. Its totient is φ = 5600.

The previous prime is 15619. The next prime is 15629. The reversal of 15620 is 2651.

It is an Ulam number.

It is a plaindrome in base 14.

It is a nialpdrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 15595 and 15604.

It is not an unprimeable number, because it can be changed into a prime (15629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185 + ... + 255.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

15620 is a Friedman number, since it can be written as (10/2)^6-5, using all its digits and the basic arithmetic operations.

215620 is an apocalyptic number.

15620 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 15620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144).

15620 is an abundant number, since it is smaller than the sum of its proper divisors (20668).

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

15620 is a wasteful number, since it uses less digits than its factorization.

15620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 15620 is about 124.9799983997. The cubic root of 15620 is about 24.9973330488.

The spelling of 15620 in words is "fifteen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1562 3124 3905 7810 15620