Base | Representation |
---|---|
bin | 101101010110… |
… | …1011011100000 |
3 | 1122202002201012 |
4 | 1122231123200 |
5 | 22041412130 |
6 | 2205400052 |
7 | 406055435 |
oct | 132553340 |
9 | 48662635 |
10 | 23779040 |
11 | 124715aa |
12 | 7b69028 |
13 | 4c0754c |
14 | 322db8c |
15 | 214a995 |
hex | 16ad6e0 |
23779040 has 48 divisors (see below), whose sum is σ = 56473200. Its totient is φ = 9461760.
The previous prime is 23779009. The next prime is 23779069. The reversal of 23779040 is 4097732.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a junction number, because it is equal to n+sod(n) for n = 23778988 and 23779006.
It is a congruent number.
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 7 ways as a sum of consecutive naturals, for example, 52736 + ... + 53184.
It is an arithmetic number, because the mean of its divisors is an integer number (1176525).
Almost surely, 223779040 is an apocalyptic number.
23779040 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 23779040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28236600).
23779040 is an abundant number, since it is smaller than the sum of its proper divisors (32694160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23779040 is a wasteful number, since it uses less digits than its factorization.
23779040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 795 (or 787 counting only the distinct ones).
The product of its (nonzero) digits is 10584, while the sum is 32.
The square root of 23779040 is about 4876.3757033272. The cubic root of 23779040 is about 287.5619627001.
The spelling of 23779040 in words is "twenty-three million, seven hundred seventy-nine thousand, forty".
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