Search a number
-
+
23930424 = 2333731719
BaseRepresentation
bin101101101001…
…0011000111000
31200000210101000
41123102120320
522111233144
62212525000
7410256000
oct133223070
950023330
1023930424
1112565311
128020760
134c5b41b
14326d000
15217a769
hex16d2638

23930424 has 256 divisors, whose sum is σ = 86400000. Its totient is φ = 6096384.

The previous prime is 23930399. The next prime is 23930437. The reversal of 23930424 is 42403932.

It is a happy number.

23930424 is a `hidden beast` number, since 239 + 3 + 0 + 424 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1259487 + ... + 1259505.

It is an arithmetic number, because the mean of its divisors is an integer number (337500).

Almost surely, 223930424 is an apocalyptic number.

23930424 is a gapful number since it is divisible by the number (24) 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 23930424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43200000).

23930424 is an abundant number, since it is smaller than the sum of its proper divisors (62469576).

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

23930424 is a wasteful number, since it uses less digits than its factorization.

23930424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 23930424 is about 4891.8732608276. The cubic root of 23930424 is about 288.1709055053.

The spelling of 23930424 in words is "twenty-three million, nine hundred thirty thousand, four hundred twenty-four".