Search a number
-
+
10589140 = 225836379
BaseRepresentation
bin101000011001…
…001111010100
3201220222120101
4220121033110
510202323030
61014543444
7156002062
oct50311724
921828511
1010589140
115a82861
123667b84
132269a83
141599032
15de27ca
hexa193d4

10589140 has 24 divisors (see below), whose sum is σ = 22508640. Its totient is φ = 4183968.

The previous prime is 10589129. The next prime is 10589167. The reversal of 10589140 is 4198501.

It is a happy number.

It is a super-2 number, since 2×105891402 = 224259771879200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10589099 and 10589108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1530 + ... + 4849.

It is an arithmetic number, because the mean of its divisors is an integer number (937860).

Almost surely, 210589140 is an apocalyptic number.

10589140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10589140 is an abundant number, since it is smaller than the sum of its proper divisors (11919500).

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

10589140 is a wasteful number, since it uses less digits than its factorization.

10589140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6471 (or 6469 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 10589140 is about 3254.0958805788. The cubic root of 10589140 is about 219.5938788588.

The spelling of 10589140 in words is "ten million, five hundred eighty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 83 166 332 415 830 1660 6379 12758 25516 31895 63790 127580 529457 1058914 2117828 2647285 5294570 10589140