Search a number
-
+
527090013 = 32711018167
BaseRepresentation
bin11111011010101…
…100000101011101
31100201210221120100
4133122230011131
52034413340023
6124145211313
716030122402
oct3732540535
91321727510
10527090013
1125058a58a
12128630b39
138527b6a8
14500082a9
1531419c43
hex1f6ac15d

527090013 has 24 divisors (see below), whose sum is σ = 779815296. Its totient is φ = 342972000.

The previous prime is 527090009. The next prime is 527090017. The reversal of 527090013 is 310090725.

It is an interprime number because it is at equal distance from previous prime (527090009) and next prime (527090017).

It is not a de Polignac number, because 527090013 - 22 = 527090009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527090017) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 60456 + ... + 68622.

It is an arithmetic number, because the mean of its divisors is an integer number (32492304).

Almost surely, 2527090013 is an apocalyptic number.

It is an amenable number.

527090013 is a deficient number, since it is larger than the sum of its proper divisors (252725283).

527090013 is a wasteful number, since it uses less digits than its factorization.

527090013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8345 (or 8342 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 527090013 is about 22958.4409967228. The cubic root of 527090013 is about 807.7834093556.

The spelling of 527090013 in words is "five hundred twenty-seven million, ninety thousand, thirteen".

Divisors: 1 3 9 71 101 213 303 639 909 7171 8167 21513 24501 64539 73503 579857 824867 1739571 2474601 5218713 7423803 58565557 175696671 527090013