Base | Representation |
---|---|
bin | 100111010001… |
… | …011111110000 |
3 | 201101001110200 |
4 | 213101133300 |
5 | 10113422110 |
6 | 1004355200 |
7 | 153336252 |
oct | 47213760 |
9 | 21331420 |
10 | 10295280 |
11 | 58a1aa6 |
12 | 3545b00 |
13 | 21960a8 |
14 | 151dcd2 |
15 | d856c0 |
hex | 9d17f0 |
10295280 has 120 divisors (see below), whose sum is σ = 35206080. Its totient is φ = 2695680.
The previous prime is 10295273. The next prime is 10295281. The reversal of 10295280 is 8259201.
It is a tau number, because it is divible by the number of its divisors (120).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10295281) 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 23 ways as a sum of consecutive naturals, for example, 56790 + ... + 56970.
It is an arithmetic number, because the mean of its divisors is an integer number (293384).
Almost surely, 210295280 is an apocalyptic number.
10295280 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 10295280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17603040).
10295280 is an abundant number, since it is smaller than the sum of its proper divisors (24910800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10295280 is a wasteful number, since it uses less digits than its factorization.
10295280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 279 (or 270 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 27.
The square root of 10295280 is about 3208.6258741087. The cubic root of 10295280 is about 217.5434712950.
The spelling of 10295280 in words is "ten million, two hundred ninety-five thousand, two hundred eighty".
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