Base | Representation |
---|---|
bin | 100110010000… |
… | …010110101100 |
3 | 200212111110110 |
4 | 212100112230 |
5 | 10031402320 |
6 | 554540020 |
7 | 151145331 |
oct | 46202654 |
9 | 20774413 |
10 | 10028460 |
11 | 572a592 |
12 | 3437610 |
13 | 2101800 |
14 | 1490988 |
15 | d315e0 |
hex | 9905ac |
10028460 has 144 divisors (see below), whose sum is σ = 32465664. Its totient is φ = 2306304.
The previous prime is 10028449. The next prime is 10028467. The reversal of 10028460 is 6482001.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10028467) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233199 + ... + 233241.
It is an arithmetic number, because the mean of its divisors is an integer number (225456).
Almost surely, 210028460 is an apocalyptic number.
10028460 is a gapful number since it is divisible by the number (10) 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 10028460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16232832).
10028460 is an abundant number, since it is smaller than the sum of its proper divisors (22437204).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10028460 is a wasteful number, since it uses less digits than its factorization.
10028460 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 104 (or 89 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 21.
The square root of 10028460 is about 3166.7743841329. The cubic root of 10028460 is about 215.6476594544.
Adding to 10028460 its sum of digits (21), we get a triangular number (10028481 = T4478).
The spelling of 10028460 in words is "ten million, twenty-eight thousand, four hundred sixty".
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