Search a number
-
+
23760780 = 22351313023
BaseRepresentation
bin101101010100…
…0111110001100
31122201011122220
41122220332030
522040321110
62205135340
7405651261
oct132507614
948634586
1023760780
111245990a
127b5a550
134bcc144
143227268
152145370
hex16a8f8c

23760780 has 48 divisors (see below), whose sum is σ = 67060224. Its totient is φ = 6285760.

The previous prime is 23760749. The next prime is 23760791. The reversal of 23760780 is 8706732.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6349 + ... + 9371.

It is an arithmetic number, because the mean of its divisors is an integer number (1397088).

Almost surely, 223760780 is an apocalyptic number.

23760780 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 23760780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33530112).

23760780 is an abundant number, since it is smaller than the sum of its proper divisors (43299444).

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

23760780 is a wasteful number, since it uses less digits than its factorization.

23760780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166 (or 3164 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 23760780 is about 4874.5030515941. The cubic root of 23760780 is about 287.4883372711.

The spelling of 23760780 in words is "twenty-three million, seven hundred sixty thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1965 2620 3023 3930 6046 7860 9069 12092 15115 18138 30230 36276 45345 60460 90690 181380 396013 792026 1188039 1584052 1980065 2376078 3960130 4752156 5940195 7920260 11880390 23760780