Base | Representation |
---|---|
bin | 101101101110… |
… | …1101001011100 |
3 | 1200010010122000 |
4 | 1123131221130 |
5 | 22114222130 |
6 | 2213522300 |
7 | 410540310 |
oct | 133355134 |
9 | 50103560 |
10 | 23976540 |
11 | 12596a25 |
12 | 8043390 |
13 | 4c76403 |
14 | 3281b40 |
15 | 2189260 |
hex | 16dda5c |
23976540 has 96 divisors (see below), whose sum is σ = 85263360. Its totient is φ = 5479488.
The previous prime is 23976521. The next prime is 23976541. The reversal of 23976540 is 4567932.
23976540 is a `hidden beast` number, since 23 + 97 + 6 + 540 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 23976495 and 23976504.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23976541) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 609 + ... + 6951.
It is an arithmetic number, because the mean of its divisors is an integer number (888160).
Almost surely, 223976540 is an apocalyptic number.
23976540 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 23976540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42631680).
23976540 is an abundant number, since it is smaller than the sum of its proper divisors (61286820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23976540 is a wasteful number, since it uses less digits than its factorization.
23976540 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6368 (or 6360 counting only the distinct ones).
The product of its (nonzero) digits is 45360, while the sum is 36.
The square root of 23976540 is about 4896.5845239309. The cubic root of 23976540 is about 288.3558968239.
The spelling of 23976540 in words is "twenty-three million, nine hundred seventy-six thousand, five hundred forty".
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