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23672 = 2311269
BaseRepresentation
bin101110001111000
31012110202
411301320
51224142
6301332
7126005
oct56170
935422
1023672
1116870
1211848
13aa0c
1488ac
157032
hex5c78

23672 has 16 divisors (see below), whose sum is σ = 48600. Its totient is φ = 10720.

The previous prime is 23671. The next prime is 23677. The reversal of 23672 is 27632.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23671) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47 + ... + 222.

223672 is an apocalyptic number.

23672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23672 is an abundant number, since it is smaller than the sum of its proper divisors (24928).

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 (24300).

23672 is a wasteful number, since it uses less digits than its factorization.

23672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 282 counting only the distinct ones).

The product of its digits is 504, while the sum is 20.

The square root of 23672 is about 153.8570765353. The cubic root of 23672 is about 28.7129832358.

The spelling of 23672 in words is "twenty-three thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 22 44 88 269 538 1076 2152 2959 5918 11836 23672