Search a number
-
+
23064576 = 21231877
BaseRepresentation
bin101011111111…
…1000000000000
31121101210122120
41113333000000
521401031301
62142204240
7400021443
oct127770000
947353576
1023064576
1112023837
127883680
134a172a2
1430c565a
152058e36
hex15ff000

23064576 has 52 divisors (see below), whose sum is σ = 61530792. Its totient is φ = 7684096.

The previous prime is 23064571. The next prime is 23064581. The reversal of 23064576 is 67546032.

It is an interprime number because it is at equal distance from previous prime (23064571) and next prime (23064581).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23064571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11350 + ... + 13226.

Almost surely, 223064576 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 23064576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30765396).

23064576 is an abundant number, since it is smaller than the sum of its proper divisors (38466216).

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

23064576 is an equidigital number, since it uses as much as digits as its factorization.

23064576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 23064576 is about 4802.5593176972. The cubic root of 23064576 is about 284.6526022616.

The spelling of 23064576 in words is "twenty-three million, sixty-four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 1877 2048 3072 3754 4096 5631 6144 7508 11262 12288 15016 22524 30032 45048 60064 90096 120128 180192 240256 360384 480512 720768 961024 1441536 1922048 2883072 3844096 5766144 7688192 11532288 23064576