Search a number
-
+
23828760 = 2332566191
BaseRepresentation
bin101101011100…
…1100100011000
31122211121220200
41122321210120
522100010020
62210422200
7406353414
oct132714430
948747820
1023828760
11124a599a
127b91960
134c24077
143243d44
15215a590
hex16b9918

23828760 has 48 divisors (see below), whose sum is σ = 77444640. Its totient is φ = 6354240.

The previous prime is 23828737. The next prime is 23828767. The reversal of 23828760 is 6782832.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23828767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32736 + ... + 33455.

It is an arithmetic number, because the mean of its divisors is an integer number (1613430).

Almost surely, 223828760 is an apocalyptic number.

23828760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23828760 is an abundant number, since it is smaller than the sum of its proper divisors (53615880).

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

23828760 is a wasteful number, since it uses less digits than its factorization.

23828760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66208 (or 66201 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 23828760 is about 4881.4710897433. The cubic root of 23828760 is about 287.7622459093.

The spelling of 23828760 in words is "twenty-three million, eight hundred twenty-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 66191 132382 198573 264764 330955 397146 529528 595719 661910 794292 992865 1191438 1323820 1588584 1985730 2382876 2647640 2978595 3971460 4765752 5957190 7942920 11914380 23828760