Search a number
-
+
10540530020 = 225527026501
BaseRepresentation
bin10011101000100001…
…11011100101100100
31000012120212101220202
421310100323211210
5133041333430040
64501532050032
7522130012136
oct116420734544
930176771822
1010540530020
114519944239
122062003918
13cbc993417
1471dc69056
1541a580015
hex27443b964

10540530020 has 12 divisors (see below), whose sum is σ = 22135113084. Its totient is φ = 4216212000.

The previous prime is 10540530019. The next prime is 10540530053. The reversal of 10540530020 is 2003504501.

It can be written as a sum of positive squares in 2 ways, for example, as 1891902016 + 8648628004 = 43496^2 + 92998^2 .

It is a super-2 number, since 2×105405300202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 527026501 = 10540530020 / (1 + 0 + 5 + 4 + 0 + 5 + 3 + 0 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 10540529974 and 10540530001.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 263513231 + ... + 263513270.

It is an arithmetic number, because the mean of its divisors is an integer number (1844592757).

Almost surely, 210540530020 is an apocalyptic number.

10540530020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10540530020 is an abundant number, since it is smaller than the sum of its proper divisors (11594583064).

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

10540530020 is a wasteful number, since it uses less digits than its factorization.

10540530020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527026510 (or 527026508 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The spelling of 10540530020 in words is "ten billion, five hundred forty million, five hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 527026501 1054053002 2108106004 2635132505 5270265010 10540530020