Base | Representation |
---|---|
bin | 101100010111… |
… | …1100111000000 |
3 | 1121202220202210 |
4 | 1120233213000 |
5 | 21423414210 |
6 | 2150342120 |
7 | 401511066 |
oct | 130574700 |
9 | 47686683 |
10 | 23263680 |
11 | 1214a390 |
12 | 795a940 |
13 | 4a86abb |
14 | 3138036 |
15 | 2097e20 |
hex | 162f9c0 |
23263680 has 112 divisors (see below), whose sum is σ = 80613504. Its totient is φ = 5637120.
The previous prime is 23263651. The next prime is 23263693. The reversal of 23263680 is 8636232.
It is a Harshad number since it is a multiple of its sum of digits (30).
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, 9459 + ... + 11661.
Almost surely, 223263680 is an apocalyptic number.
23263680 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 23263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40306752).
23263680 is an abundant number, since it is smaller than the sum of its proper divisors (57349824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23263680 is a wasteful number, since it uses less digits than its factorization.
23263680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2234 (or 2224 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 30.
The square root of 23263680 is about 4823.2437218121. The cubic root of 23263680 is about 285.4693405427.
It can be divided in two parts, 2326 and 3680, that added together give a palindrome (6006).
The spelling of 23263680 in words is "twenty-three million, two hundred sixty-three thousand, six hundred eighty".
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