Search a number
-
+
23064480 = 2533519281
BaseRepresentation
bin101011111111…
…0111110100000
31121101210112000
41113332332200
521401030410
62142204000
7400021245
oct127767640
947353460
1023064480
111202375a
127883600
134a1722a
1430c55cc
152058dc0
hex15fefa0

23064480 has 192 divisors, whose sum is σ = 85276800. Its totient is φ = 5806080.

The previous prime is 23064473. The next prime is 23064493. The reversal of 23064480 is 8446032.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81940 + ... + 82220.

It is an arithmetic number, because the mean of its divisors is an integer number (444150).

Almost surely, 223064480 is an apocalyptic number.

23064480 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 23064480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42638400).

23064480 is an abundant number, since it is smaller than the sum of its proper divisors (62212320).

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

23064480 is a wasteful number, since it uses less digits than its factorization.

23064480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 23064480 is about 4802.5493230159. The cubic root of 23064480 is about 284.6522073314.

It can be divided in two parts, 2306 and 4480, that added together give a triangular number (6786 = T116).

The spelling of 23064480 in words is "twenty-three million, sixty-four thousand, four hundred eighty".