Base | Representation |
---|---|
bin | 101101110001… |
… | …0101011000000 |
3 | 1200011011212020 |
4 | 1123202223000 |
5 | 22120401440 |
6 | 2214201440 |
7 | 410654310 |
oct | 133425300 |
9 | 50134766 |
10 | 23997120 |
11 | 12600434 |
12 | 8053280 |
13 | 4c828a4 |
14 | 3289440 |
15 | 21903d0 |
hex | 16e2ac0 |
23997120 has 112 divisors (see below), whose sum is σ = 87099648. Its totient is φ = 5483520.
The previous prime is 23997109. The next prime is 23997151. The reversal of 23997120 is 2179932.
It is a tau number, because it is divible by the number of its divisors (112).
It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 4935 + ... + 8505.
Almost surely, 223997120 is an apocalyptic number.
23997120 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 23997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43549824).
23997120 is an abundant number, since it is smaller than the sum of its proper divisors (63102528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23997120 is a wasteful number, since it uses less digits than its factorization.
23997120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3598 (or 3588 counting only the distinct ones).
The product of its (nonzero) digits is 6804, while the sum is 33.
The square root of 23997120 is about 4898.6855379785. The cubic root of 23997120 is about 288.4383756034.
The spelling of 23997120 in words is "twenty-three million, nine hundred ninety-seven thousand, one hundred twenty".
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