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10285830 = 2325234969
BaseRepresentation
bin100111001111…
…001100000110
3201100120111200
4213033030012
510113121310
61004243330
7153266562
oct47171406
921316450
1010285830
115895995
123540546
1321919b9
14151a6a2
15d829c0
hex9cf306

10285830 has 48 divisors (see below), whose sum is σ = 27911520. Its totient is φ = 2623104.

The previous prime is 10285829. The next prime is 10285837. The reversal of 10285830 is 3858201.

It is a happy number.

10285830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10285794 and 10285803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10285837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415 + ... + 4554.

It is an arithmetic number, because the mean of its divisors is an integer number (581490).

Almost surely, 210285830 is an apocalyptic number.

10285830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10285830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13955760).

10285830 is an abundant number, since it is smaller than the sum of its proper divisors (17625690).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10285830 is a wasteful number, since it uses less digits than its factorization.

10285830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5005 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10285830 is about 3207.1529430322. The cubic root of 10285830 is about 217.4768901328.

The spelling of 10285830 in words is "ten million, two hundred eighty-five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 4969 9938 14907 24845 29814 44721 49690 74535 89442 114287 149070 223605 228574 342861 447210 571435 685722 1028583 1142870 1714305 2057166 3428610 5142915 10285830