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23472080 = 2451811621
BaseRepresentation
bin101100110001…
…0011111010000
31122011111122022
41121202133100
522002101310
62155031012
7403336502
oct131423720
948144568
1023472080
1112281a15
127a3b468
134b2a908
14318dd72
1520d9a55
hex16627d0

23472080 has 40 divisors (see below), whose sum is σ = 54907944. Its totient is φ = 9331200.

The previous prime is 23472079. The next prime is 23472139. The reversal of 23472080 is 8027432.

It can be written as a sum of positive squares in 4 ways, for example, as 355216 + 23116864 = 596^2 + 4808^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13670 + ... + 15290.

Almost surely, 223472080 is an apocalyptic number.

23472080 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 23472080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27453972).

23472080 is an abundant number, since it is smaller than the sum of its proper divisors (31435864).

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

23472080 is a wasteful number, since it uses less digits than its factorization.

23472080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 23472080 is about 4844.7992734478. The cubic root of 23472080 is about 286.3192353646.

The spelling of 23472080 in words is "twenty-three million, four hundred seventy-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 362 724 905 1448 1621 1810 2896 3242 3620 6484 7240 8105 12968 14480 16210 25936 32420 64840 129680 293401 586802 1173604 1467005 2347208 2934010 4694416 5868020 11736040 23472080