Search a number
-
+
10285590 = 235726997
BaseRepresentation
bin100111001111…
…001000010110
3201100120011210
4213033020112
510113114330
61004242250
7153266100
oct47171026
921316153
1010285590
115895797
123540386
132191863
14151a570
15d828b0
hex9cf216

10285590 has 48 divisors (see below), whose sum is σ = 28719792. Its totient is φ = 2350656.

The previous prime is 10285573. The next prime is 10285591. The reversal of 10285590 is 9558201.

10285590 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10285591) 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, 2029 + ... + 4968.

It is an arithmetic number, because the mean of its divisors is an integer number (598329).

Almost surely, 210285590 is an apocalyptic number.

10285590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10285590 is an abundant number, since it is smaller than the sum of its proper divisors (18434202).

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

10285590 is a wasteful number, since it uses less digits than its factorization.

10285590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7021 (or 7014 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 10285590 is about 3207.1155264505. The cubic root of 10285590 is about 217.4751986517.

The spelling of 10285590 in words is "ten million, two hundred eighty-five thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 6997 13994 20991 34985 41982 48979 69970 97958 104955 146937 209910 244895 293874 342853 489790 685706 734685 1028559 1469370 1714265 2057118 3428530 5142795 10285590