Search a number
-
+
23720768 = 26973821
BaseRepresentation
bin101101001111…
…1001101000000
31122122010202222
41122133031000
522033031033
62204230212
7405423521
oct132371500
948563688
1023720768
1112431845
127b3b368
134bb6b76
143216848
152138598
hex169f340

23720768 has 28 divisors (see below), whose sum is σ = 47568612. Its totient is φ = 11735040.

The previous prime is 23720761. The next prime is 23720789. The reversal of 23720768 is 86702732.

It can be written as a sum of positive squares in 2 ways, for example, as 16581184 + 7139584 = 4072^2 + 2672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23720761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4298 + ... + 8118.

It is an arithmetic number, because the mean of its divisors is an integer number (1698879).

Almost surely, 223720768 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 23720768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23784306).

23720768 is an abundant number, since it is smaller than the sum of its proper divisors (23847844).

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

23720768 is an equidigital number, since it uses as much as digits as its factorization.

23720768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3930 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 23720768 is about 4870.3971090662. The cubic root of 23720768 is about 287.3268744709.

The spelling of 23720768 in words is "twenty-three million, seven hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 97 194 388 776 1552 3104 3821 6208 7642 15284 30568 61136 122272 244544 370637 741274 1482548 2965096 5930192 11860384 23720768