Search a number
-
+
23823720 = 233651943
BaseRepresentation
bin101101011100…
…0010101101000
31122211101000000
41122320111220
522044324340
62210343000
7406332624
oct132702550
948741000
1023823720
11124a2128
127b8aa60
134c2199b
143242184
152158d30
hex16b8568

23823720 has 224 divisors, whose sum is σ = 86565600. Its totient is φ = 5878656.

The previous prime is 23823713. The next prime is 23823721. The reversal of 23823720 is 2732832.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23823721) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 554019 + ... + 554061.

Almost surely, 223823720 is an apocalyptic number.

23823720 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 23823720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43282800).

23823720 is an abundant number, since it is smaller than the sum of its proper divisors (62741880).

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

23823720 is a wasteful number, since it uses less digits than its factorization.

23823720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 23823720 is about 4880.9548246219. The cubic root of 23823720 is about 287.7419563659.

The spelling of 23823720 in words is "twenty-three million, eight hundred twenty-three thousand, seven hundred twenty".