Base | Representation |
---|---|
bin | 101101100111… |
… | …0010101000000 |
3 | 1122222221120000 |
4 | 1123032111000 |
5 | 22110220132 |
6 | 2212320000 |
7 | 410156340 |
oct | 133162500 |
9 | 48887500 |
10 | 23913792 |
11 | 12553871 |
12 | 8013000 |
13 | 4c53996 |
14 | 3266d20 |
15 | 217587c |
hex | 16ce540 |
23913792 has 140 divisors (see below), whose sum is σ = 81137760. Its totient is φ = 6822144.
The previous prime is 23913779. The next prime is 23913797. The reversal of 23913792 is 29731932.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23913797) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35959 + ... + 36617.
Almost surely, 223913792 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23913792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40568880).
23913792 is an abundant number, since it is smaller than the sum of its proper divisors (57223968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23913792 is an equidigital number, since it uses as much as digits as its factorization.
23913792 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 690 (or 671 counting only the distinct ones).
The product of its digits is 20412, while the sum is 36.
The square root of 23913792 is about 4890.1730030746. The cubic root of 23913792 is about 288.1041290133.
The spelling of 23913792 in words is "twenty-three million, nine hundred thirteen thousand, seven hundred ninety-two".
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