Base | Representation |
---|---|
bin | 101100011000… |
… | …1111101000000 |
3 | 1121210101221100 |
4 | 1120301331000 |
5 | 21424221110 |
6 | 2150454400 |
7 | 401551062 |
oct | 130617500 |
9 | 47711840 |
10 | 23273280 |
11 | 12156618 |
12 | 7964400 |
13 | 4a8b294 |
14 | 313b732 |
15 | 209abc0 |
hex | 1631f40 |
23273280 has 84 divisors (see below), whose sum is σ = 80060292. Its totient is φ = 6205440.
The previous prime is 23273273. The next prime is 23273339. The reversal of 23273280 is 8237232.
It can be written as a sum of positive squares in 2 ways, for example, as 8156736 + 15116544 = 2856^2 + 3888^2 .
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a congruent number.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 1161 + ... + 6920.
Almost surely, 223273280 is an apocalyptic number.
23273280 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 23273280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40030146).
23273280 is an abundant number, since it is smaller than the sum of its proper divisors (56787012).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23273280 is a wasteful number, since it uses less digits than its factorization.
23273280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8104 (or 8091 counting only the distinct ones).
The product of its (nonzero) digits is 4032, while the sum is 27.
The square root of 23273280 is about 4824.2388000595. The cubic root of 23273280 is about 285.5086024421.
Subtracting from 23273280 its sum of digits (27), we obtain a triangular number (23273253 = T6822).
The spelling of 23273280 in words is "twenty-three million, two hundred seventy-three thousand, two hundred eighty".
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