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23660 = 2257132
BaseRepresentation
bin101110001101100
31012110022
411301230
51224120
6301312
7125660
oct56154
935408
1023660
111685a
1211838
13aa00
1488a0
157025
hex5c6c

23660 has 36 divisors (see below), whose sum is σ = 61488. Its totient is φ = 7488.

The previous prime is 23633. The next prime is 23663. The reversal of 23660 is 6632.

23660 = T29 + T30 + ... + T54.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (23663) by changing a digit.

23660 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 11 ways as a sum of consecutive naturals, for example, 1814 + ... + 1826.

It is an arithmetic number, because the mean of its divisors is an integer number (1708).

223660 is an apocalyptic number.

23660 is a gapful number since it is divisible by the number (20) 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 23660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30744).

23660 is an abundant number, since it is smaller than the sum of its proper divisors (37828).

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

23660 is a wasteful number, since it uses less digits than its factorization.

23660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 23660 is about 153.8180743606. The cubic root of 23660 is about 28.7081306105.

The spelling of 23660 in words is "twenty-three thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 169 182 260 338 364 455 676 845 910 1183 1690 1820 2366 3380 4732 5915 11830 23660