[go: up one dir, main page]

Search a number
-
+
1030535825 = 521121013373
BaseRepresentation
bin111101011011001…
…011101010010001
32122211010122101112
4331123023222101
54102304121300
6250131543105
734352260424
oct7533135221
92584118345
101030535825
1148978a900
1224915aa95
1313566c017
149ac199bb
1560713e35
hex3d6cba91

1030535825 has 36 divisors (see below), whose sum is σ = 1418922204. Its totient is φ = 741840000.

The previous prime is 1030535809. The next prime is 1030535833. The reversal of 1030535825 is 5285350301.

It can be written as a sum of positive squares in 6 ways, for example, as 230098561 + 800437264 = 15169^2 + 28292^2 .

It is not a de Polignac number, because 1030535825 - 24 = 1030535809 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1030535791 and 1030535800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 303839 + ... + 307211.

Almost surely, 21030535825 is an apocalyptic number.

It is an amenable number.

1030535825 is a deficient number, since it is larger than the sum of its proper divisors (388386379).

1030535825 is a wasteful number, since it uses less digits than its factorization.

1030535825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3506 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 1030535825 is about 32101.9598311380. The cubic root of 1030535825 is about 1010.0767268444.

The spelling of 1030535825 in words is "one billion, thirty million, five hundred thirty-five thousand, eight hundred twenty-five".

Divisors: 1 5 11 25 55 101 121 275 505 605 1111 2525 3025 3373 5555 12221 16865 27775 37103 61105 84325 185515 305525 340673 408133 927575 1703365 2040665 3747403 8516825 10203325 18737015 41221433 93685075 206107165 1030535825