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23472 = 2432163
BaseRepresentation
bin101101110110000
31012012100
411232300
51222342
6300400
7125301
oct55660
935170
1023472
11166a9
1211700
13a8b7
1487a8
156e4c
hex5bb0

23472 has 30 divisors (see below), whose sum is σ = 66092. Its totient is φ = 7776.

The previous prime is 23459. The next prime is 23473. The reversal of 23472 is 27432.

It is a happy number.

23472 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 23 + 38 + 47 + 7 + 29 .

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

Its product of digits (336) is a multiple of the sum of its prime divisors (168).

It is not an unprimeable number, because it can be changed into a prime (23473) by changing a digit.

23472 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 5 ways as a sum of consecutive naturals, for example, 63 + ... + 225.

223472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33046).

23472 is an abundant number, since it is smaller than the sum of its proper divisors (42620).

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

23472 is a wasteful number, since it uses less digits than its factorization.

23472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 168 counting only the distinct ones).

The product of its digits is 336, while the sum is 18.

The square root of 23472 is about 153.2057440176. The cubic root of 23472 is about 28.6318910076.

The spelling of 23472 in words is "twenty-three thousand, four hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 163 326 489 652 978 1304 1467 1956 2608 2934 3912 5868 7824 11736 23472