Base | Representation |
---|---|
bin | 101011111101… |
… | …0011010010000 |
3 | 1121100211212021 |
4 | 1113322122100 |
5 | 21344431101 |
6 | 2141541224 |
7 | 366612565 |
oct | 127723220 |
9 | 47324767 |
10 | 23045776 |
11 | 120106a6 |
12 | 7874814 |
13 | 4a0b870 |
14 | 30bc86c |
15 | 20535a1 |
hex | 15fa690 |
23045776 has 40 divisors (see below), whose sum is σ = 48606264. Its totient is φ = 10521600.
The previous prime is 23045753. The next prime is 23045777. The reversal of 23045776 is 67754032.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 3154176 + 19891600 = 1776^2 + 4460^2 .
It is a super-2 number, since 2×230457762 = 1062215582884352, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23045777) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20460 + ... + 21556.
Almost surely, 223045776 is an apocalyptic number.
23045776 is a gapful number since it is divisible by the number (26) 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 23045776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24303132).
23045776 is an abundant number, since it is smaller than the sum of its proper divisors (25560488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23045776 is a wasteful number, since it uses less digits than its factorization.
23045776 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1219 (or 1213 counting only the distinct ones).
The product of its (nonzero) digits is 35280, while the sum is 34.
The square root of 23045776 is about 4800.6016289628. The cubic root of 23045776 is about 284.5752408629.
It can be divided in two parts, 2304 and 5776, that multiplied together give a square (13307904 = 36482).
The spelling of 23045776 in words is "twenty-three million, forty-five thousand, seven hundred seventy-six".
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