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23242560 = 2635113171
BaseRepresentation
bin101100010101…
…0011101000000
31121201211210120
41120222131000
521422230220
62150100240
7401362365
oct130523500
947654716
1023242560
1112135530
12794a680
134a7a2c3
14313046c
152091a40
hex162a740

23242560 has 224 divisors, whose sum is σ = 84271104. Its totient is φ = 5376000.

The previous prime is 23242547. The next prime is 23242589. The reversal of 23242560 is 6524232.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23242560.

It is a congruent number.

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, 327325 + ... + 327395.

Almost surely, 223242560 is an apocalyptic number.

23242560 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 23242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42135552).

23242560 is an abundant number, since it is smaller than the sum of its proper divisors (61028544).

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

23242560 is a wasteful number, since it uses less digits than its factorization.

23242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 23242560 is about 4821.0538267064. The cubic root of 23242560 is about 285.3829263281.

Adding to 23242560 its reverse (6524232), we get a palindrome (29766792).

It can be divided in two parts, 2324 and 2560, that added together give a palindrome (4884).

The spelling of 23242560 in words is "twenty-three million, two hundred forty-two thousand, five hundred sixty".