Base | Representation |
---|---|
bin | 101101001011… |
… | …1011000010000 |
3 | 1122120111211000 |
4 | 1122113120100 |
5 | 22031014340 |
6 | 2203422000 |
7 | 405231216 |
oct | 132273020 |
9 | 48514730 |
10 | 23688720 |
11 | 1240a760 |
12 | 7b24900 |
13 | 4ba53c3 |
14 | 3208cb6 |
15 | 212dd30 |
hex | 1697610 |
23688720 has 160 divisors (see below), whose sum is σ = 89101440. Its totient is φ = 5736960.
The previous prime is 23688713. The next prime is 23688727. The reversal of 23688720 is 2788632.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (23688713) and next prime (23688727).
It is a super-2 number, since 2×236887202 = 1122310910476800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (23688727) 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 31 ways as a sum of consecutive naturals, for example, 23262 + ... + 24258.
It is an arithmetic number, because the mean of its divisors is an integer number (556884).
Almost surely, 223688720 is an apocalyptic number.
23688720 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 23688720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44550720).
23688720 is an abundant number, since it is smaller than the sum of its proper divisors (65412720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23688720 is a wasteful number, since it uses less digits than its factorization.
23688720 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1030 (or 1018 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The square root of 23688720 is about 4867.1059162504. The cubic root of 23688720 is about 287.1974182670.
The spelling of 23688720 in words is "twenty-three million, six hundred eighty-eight thousand, seven hundred twenty".
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