Search a number
-
+
23620 = 2251181
BaseRepresentation
bin101110001000100
31012101211
411301010
51223440
6301204
7125602
oct56104
935354
1023620
1116823
1211804
13a99c
148872
156eea
hex5c44

23620 has 12 divisors (see below), whose sum is σ = 49644. Its totient is φ = 9440.

The previous prime is 23609. The next prime is 23623. The reversal of 23620 is 2632.

It can be divided in two parts, 236 and 20, that added together give a 8-th power (256 = 28).

It can be written as a sum of positive squares in 2 ways, for example, as 15876 + 7744 = 126^2 + 88^2 .

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 23620.

It is not an unprimeable number, because it can be changed into a prime (23623) by changing a digit.

23620 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 571 + ... + 610.

It is an arithmetic number, because the mean of its divisors is an integer number (4137).

223620 is an apocalyptic number.

23620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23620 is an abundant number, since it is smaller than the sum of its proper divisors (26024).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24822).

23620 is a wasteful number, since it uses less digits than its factorization.

23620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 23620 is about 153.6879956275. The cubic root of 23620 is about 28.6919433330.

The spelling of 23620 in words is "twenty-three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 1181 2362 4724 5905 11810 23620