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23556 = 22313151
BaseRepresentation
bin101110000000100
31012022110
411300010
51223211
6301020
7125451
oct56004
935273
1023556
1116775
1211770
13a950
148828
156ea6
hex5c04

23556 has 24 divisors (see below), whose sum is σ = 59584. Its totient is φ = 7200.

The previous prime is 23549. The next prime is 23557. The reversal of 23556 is 65532.

It is a plaindrome in base 10.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (23557) by changing a digit.

23556 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81 + ... + 231.

223556 is an apocalyptic number.

23556 is a gapful number since it is divisible by the number (26) 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 23556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29792).

23556 is an abundant number, since it is smaller than the sum of its proper divisors (36028).

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

23556 is a wasteful number, since it uses less digits than its factorization.

23556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 169 counting only the distinct ones).

The product of its digits is 900, while the sum is 21.

The square root of 23556 is about 153.4796403436. The cubic root of 23556 is about 28.6660056335. Note that the first 3 decimals are identical.

The spelling of 23556 in words is "twenty-three thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 151 156 302 453 604 906 1812 1963 3926 5889 7852 11778 23556