Search a number
-
+
10007860 = 225500393
BaseRepresentation
bin100110001011…
…010100110100
3200211110012111
4212023110310
510030222420
6554300404
7151031302
oct46132464
920743174
1010007860
115716065
123427704
1320c5315
141487272
15d2a45a
hex98b534

10007860 has 12 divisors (see below), whose sum is σ = 21016548. Its totient is φ = 4003136.

The previous prime is 10007839. The next prime is 10007867. The reversal of 10007860 is 6870001.

It can be written as a sum of positive squares in 2 ways, for example, as 4276624 + 5731236 = 2068^2 + 2394^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007867) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 250177 + ... + 250216.

It is an arithmetic number, because the mean of its divisors is an integer number (1751379).

Almost surely, 210007860 is an apocalyptic number.

10007860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10007860 is an abundant number, since it is smaller than the sum of its proper divisors (11008688).

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

10007860 is a wasteful number, since it uses less digits than its factorization.

10007860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500402 (or 500400 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 10007860 is about 3163.5201911794. The cubic root of 10007860 is about 215.4999004096.

Adding to 10007860 its reverse (6870001), we get a palindrome (16877861).

The spelling of 10007860 in words is "ten million, seven thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 500393 1000786 2001572 2501965 5003930 10007860