Search a number
-
+
23243240 = 235896529
BaseRepresentation
bin101100010101…
…0100111101000
31121201212201202
41120222213220
521422240430
62150103332
7401364356
oct130524750
947655652
1023243240
1112135a99
12794ab48
134a7a6c7
1431307d6
152091d45
hex162a9e8

23243240 has 32 divisors (see below), whose sum is σ = 52893000. Its totient is φ = 9191424.

The previous prime is 23243221. The next prime is 23243243. The reversal of 23243240 is 4234232.

It can be written as a sum of positive squares in 4 ways, for example, as 9597604 + 13645636 = 3098^2 + 3694^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (23243243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296 + ... + 6824.

Almost surely, 223243240 is an apocalyptic number.

23243240 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 23243240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26446500).

23243240 is an abundant number, since it is smaller than the sum of its proper divisors (29649760).

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

23243240 is a wasteful number, since it uses less digits than its factorization.

23243240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6629 (or 6625 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 23243240 is about 4821.1243501905. The cubic root of 23243240 is about 285.3857094194.

Adding to 23243240 its reverse (4234232), we get a palindrome (27477472).

The spelling of 23243240 in words is "twenty-three million, two hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1780 3560 6529 13058 26116 32645 52232 65290 130580 261160 581081 1162162 2324324 2905405 4648648 5810810 11621620 23243240