Search a number
-
+
37130057 = 175937019
BaseRepresentation
bin1000110110100…
…0111101001001
32120212101212022
42031220331021
534001130212
63403454225
7630412616
oct215507511
976771768
1037130057
1119a603a8
1210527375
137900463
144d0750d
1533d6772
hex2368f49

37130057 has 8 divisors (see below), whose sum is σ = 39981600. Its totient is φ = 34352704.

The previous prime is 37130053. The next prime is 37130099. The reversal of 37130057 is 75003173.

37130057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 37130057 - 22 = 37130053 is a prime.

It is a super-2 number, since 2×371300572 = 2757282265646498, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37130053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17507 + ... + 19512.

It is an arithmetic number, because the mean of its divisors is an integer number (4997700).

Almost surely, 237130057 is an apocalyptic number.

It is an amenable number.

37130057 is a deficient number, since it is larger than the sum of its proper divisors (2851543).

37130057 is a wasteful number, since it uses less digits than its factorization.

37130057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37095.

The product of its (nonzero) digits is 2205, while the sum is 26.

The square root of 37130057 is about 6093.4437717928. The cubic root of 37130057 is about 333.6121599244.

The spelling of 37130057 in words is "thirty-seven million, one hundred thirty thousand, fifty-seven".

Divisors: 1 17 59 1003 37019 629323 2184121 37130057