Base | Representation |
---|---|
bin | 111110000101… |
… | …000101000000 |
3 | 1010121210100200 |
4 | 332011011000 |
5 | 13131224403 |
6 | 1340445200 |
7 | 255216162 |
oct | 76050500 |
9 | 33553320 |
10 | 16273728 |
11 | 9205769 |
12 | 5549800 |
13 | 34aa333 |
14 | 2238932 |
15 | 1666ca3 |
hex | f85140 |
16273728 has 84 divisors (see below), whose sum is σ = 49133760. Its totient is φ = 5135616.
The previous prime is 16273721. The next prime is 16273753. The reversal of 16273728 is 82737261.
16273728 is a `hidden beast` number, since 1 + 627 + 3 + 7 + 28 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 16273692 and 16273701.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (16273721) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10201 + ... + 11687.
Almost surely, 216273728 is an apocalyptic number.
16273728 is a gapful number since it is divisible by the number (18) 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 16273728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24566880).
16273728 is an abundant number, since it is smaller than the sum of its proper divisors (32860032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16273728 is a wasteful number, since it uses less digits than its factorization.
16273728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1524 (or 1511 counting only the distinct ones).
The product of its digits is 28224, while the sum is 36.
The square root of 16273728 is about 4034.0708967493. The cubic root of 16273728 is about 253.4130743127.
It can be divided in two parts, 162 and 73728, that multiplied together give a square (11943936 = 34562).
The spelling of 16273728 in words is "sixteen million, two hundred seventy-three thousand, seven hundred twenty-eight".
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