Search a number
-
+
23799820 = 22511251431
BaseRepresentation
bin101101011001…
…0100000001100
31122210011012211
41122302200030
522043043240
62210040204
7406203142
oct132624014
948704184
1023799820
1112486180
127b79064
134c13b45
143237592
152151bea
hex16b280c

23799820 has 48 divisors (see below), whose sum is σ = 54867456. Its totient is φ = 8600000.

The previous prime is 23799817. The next prime is 23799827. The reversal of 23799820 is 2899732.

It is not an unprimeable number, because it can be changed into a prime (23799827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55005 + ... + 55435.

It is an arithmetic number, because the mean of its divisors is an integer number (1143072).

Almost surely, 223799820 is an apocalyptic number.

23799820 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 23799820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27433728).

23799820 is an abundant number, since it is smaller than the sum of its proper divisors (31067636).

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

23799820 is a wasteful number, since it uses less digits than its factorization.

23799820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 23799820 is about 4878.5059188239. The cubic root of 23799820 is about 287.6457030838.

The spelling of 23799820 in words is "twenty-three million, seven hundred ninety-nine thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 251 431 502 862 1004 1255 1724 2155 2510 2761 4310 4741 5020 5522 8620 9482 11044 13805 18964 23705 27610 47410 55220 94820 108181 216362 432724 540905 1081810 1189991 2163620 2379982 4759964 5949955 11899910 23799820