Base | Representation |
---|---|
bin | 101101101111… |
… | …0111001100000 |
3 | 1200010101122210 |
4 | 1123132321200 |
5 | 22114403124 |
6 | 2214002120 |
7 | 410561250 |
oct | 133367140 |
9 | 50111583 |
10 | 23981664 |
11 | 1259a863 |
12 | 8046340 |
13 | 4c78845 |
14 | 3283960 |
15 | 218aa29 |
hex | 16dee60 |
23981664 has 96 divisors (see below), whose sum is σ = 72769536. Its totient is φ = 6773760.
The previous prime is 23981647. The next prime is 23981687. The reversal of 23981664 is 46618932.
It is a tau number, because it is divible by the number of its divisors (96).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85204 + ... + 85484.
It is an arithmetic number, because the mean of its divisors is an integer number (758016).
Almost surely, 223981664 is an apocalyptic number.
23981664 is a gapful number since it is divisible by the number (24) 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 23981664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36384768).
23981664 is an abundant number, since it is smaller than the sum of its proper divisors (48787872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23981664 is a wasteful number, since it uses less digits than its factorization.
23981664 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 428 (or 420 counting only the distinct ones).
The product of its digits is 62208, while the sum is 39.
The square root of 23981664 is about 4897.1077178269. The cubic root of 23981664 is about 288.3764367680.
The spelling of 23981664 in words is "twenty-three million, nine hundred eighty-one thousand, six hundred sixty-four".
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