Search a number
-
+
10214180 = 225510709
BaseRepresentation
bin100110111101…
…101100100100
3201012221012222
4212331230210
510103323210
61002531512
7152550644
oct46755444
921187188
1010214180
115847079
123506b98
1321681c2
1414dc524
15d6b655
hex9bdb24

10214180 has 12 divisors (see below), whose sum is σ = 21449820. Its totient is φ = 4085664.

The previous prime is 10214179. The next prime is 10214209. The reversal of 10214180 is 8141201.

It can be written as a sum of positive squares in 2 ways, for example, as 4024036 + 6190144 = 2006^2 + 2488^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 255335 + ... + 255374.

It is an arithmetic number, because the mean of its divisors is an integer number (1787485).

Almost surely, 210214180 is an apocalyptic number.

10214180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10214180 is an abundant number, since it is smaller than the sum of its proper divisors (11235640).

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

10214180 is a wasteful number, since it uses less digits than its factorization.

10214180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510718 (or 510716 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 10214180 is about 3195.9630786353. The cubic root of 10214180 is about 216.9707393988.

Adding to 10214180 its reverse (8141201), we get a palindrome (18355381).

The spelling of 10214180 in words is "ten million, two hundred fourteen thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 510709 1021418 2042836 2553545 5107090 10214180