Search a number
-
+
10420530561 = 327248612
BaseRepresentation
bin10011011010001110…
…01010110110000001
3222220020001210121100
421231013022312001
5132320123434221
64442004045013
7516142022400
oct115507126601
928806053540
1010420530561
114468132931
122029993769
13ca0b6981c
1470bd4d637
1540ec79926
hex26d1cad81

10420530561 has 27 divisors (see below), whose sum is σ = 17512929603. Its totient is φ = 5953363920.

The previous prime is 10420530529. The next prime is 10420530577. The reversal of 10420530561 is 16503502401.

The square root of 10420530561 is 102081.

It is a perfect power (a square), and thus also a powerful number.

10420530561 is a `hidden beast` number, since 10 + 42 + 0 + 53 + 0 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9580690161 + 839840400 = 97881^2 + 28980^2 .

It is not a de Polignac number, because 10420530561 - 25 = 10420530529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10420530361) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2141271 + ... + 2146131.

Almost surely, 210420530561 is an apocalyptic number.

10420530561 is the 102081-st square number.

10420530561 is the 51041-st centered octagonal number.

It is an amenable number.

10420530561 is a deficient number, since it is larger than the sum of its proper divisors (7092399042).

10420530561 is an frugal number, since it uses more digits than its factorization.

10420530561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9742 (or 4871 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Multiplying 10420530561 by its product of nonzero digits (3600), we get a square (37513910019600 = 61248602).

The spelling of 10420530561 in words is "ten billion, four hundred twenty million, five hundred thirty thousand, five hundred sixty-one".

Divisors: 1 3 7 9 21 49 63 147 441 4861 14583 34027 43749 102081 238189 306243 714567 2143701 23629321 70887963 165405247 212663889 496215741 1157836729 1488647223 3473510187 10420530561