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23040576 = 26321317181
BaseRepresentation
bin101011111100…
…1001001000000
31121100120201200
41113321021000
521344244301
62141501200
7366561456
oct127711100
947316650
1023040576
11120077a9
127871800
134a093a0
1430ba9d6
152051c86
hex15f9240

23040576 has 168 divisors, whose sum is σ = 75721464. Its totient is φ = 6635520.

The previous prime is 23040571. The next prime is 23040601. The reversal of 23040576 is 67504032.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 23040000 = 24^2 + 4800^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23040571) 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 23 ways as a sum of consecutive naturals, for example, 127206 + ... + 127386.

It is an arithmetic number, because the mean of its divisors is an integer number (450723).

Almost surely, 223040576 is an apocalyptic number.

23040576 is a gapful number since it is divisible by the number (26) 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 23040576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37860732).

23040576 is an abundant number, since it is smaller than the sum of its proper divisors (52680888).

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

23040576 is a wasteful number, since it uses less digits than its factorization.

23040576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 23040576 is about 4800.0599996250. The cubic root of 23040576 is about 284.5538356016.

The spelling of 23040576 in words is "twenty-three million, forty thousand, five hundred seventy-six".