Base | Representation |
---|---|
bin | 101101010011… |
… | …0110110010000 |
3 | 1122200201201200 |
4 | 1122212312100 |
5 | 22040031310 |
6 | 2205031200 |
7 | 405614022 |
oct | 132466620 |
9 | 48621650 |
10 | 23752080 |
11 | 12453320 |
12 | 7b55500 |
13 | 4bc81b1 |
14 | 3224012 |
15 | 21429c0 |
hex | 16a6d90 |
23752080 has 120 divisors (see below), whose sum is σ = 87048000. Its totient is φ = 5756160.
The previous prime is 23752067. The next prime is 23752117. The reversal of 23752080 is 8025732.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×237520802 = 1128322608652800, which contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6421 + ... + 9419.
It is an arithmetic number, because the mean of its divisors is an integer number (725400).
Almost surely, 223752080 is an apocalyptic number.
23752080 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 23752080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43524000).
23752080 is an abundant number, since it is smaller than the sum of its proper divisors (63295920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23752080 is a wasteful number, since it uses less digits than its factorization.
23752080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3029 (or 3020 counting only the distinct ones).
The product of its (nonzero) digits is 3360, while the sum is 27.
The square root of 23752080 is about 4873.6105712295. The cubic root of 23752080 is about 287.4532450749.
The spelling of 23752080 in words is "twenty-three million, seven hundred fifty-two thousand, eighty".
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