Base | Representation |
---|---|
bin | 101101001011… |
… | …1111010000000 |
3 | 1122120121210000 |
4 | 1122113322000 |
5 | 22031102010 |
6 | 2203440000 |
7 | 405240423 |
oct | 132277200 |
9 | 48517700 |
10 | 23690880 |
11 | 12411344 |
12 | 7b26000 |
13 | 4ba6395 |
14 | 32099ba |
15 | 212e7c0 |
hex | 1697e80 |
23690880 has 160 divisors (see below), whose sum is σ = 84789540. Its totient is φ = 6303744.
The previous prime is 23690879. The next prime is 23690899. The reversal of 23690880 is 8809632.
It can be written as a sum of positive squares in 2 ways, for example, as 23270976 + 419904 = 4824^2 + 648^2 .
It is a tau number, because it is divible by the number of its divisors (160).
It is a super-2 number, since 2×236908802 = 1122515590348800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a zygodrome in base 4.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51612 + ... + 52068.
Almost surely, 223690880 is an apocalyptic number.
23690880 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 23690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42394770).
23690880 is an abundant number, since it is smaller than the sum of its proper divisors (61098660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23690880 is an equidigital number, since it uses as much as digits as its factorization.
23690880 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 488 (or 467 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The square root of 23690880 is about 4867.3278089728. The cubic root of 23690880 is about 287.2061471412.
The spelling of 23690880 in words is "twenty-three million, six hundred ninety thousand, eight hundred eighty".
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