Search a number
-
+
38130967 = 73195851
BaseRepresentation
bin1001000101110…
…1010100010111
32122202020212001
42101131110113
534230142332
63441140131
7642052000
oct221352427
978666761
1038130967
111a5843a6
121092a647
137b90c04
1450c81a7
1535330e7
hex245d517

38130967 has 16 divisors (see below), whose sum is σ = 46816000. Its totient is φ = 30958200.

The previous prime is 38130931. The next prime is 38130977. The reversal of 38130967 is 76903183.

38130967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38130967 - 211 = 38128919 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38130977) 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 15 ways as a sum of consecutive naturals, for example, 3592 + ... + 9442.

It is an arithmetic number, because the mean of its divisors is an integer number (2926000).

Almost surely, 238130967 is an apocalyptic number.

38130967 is a deficient number, since it is larger than the sum of its proper divisors (8685033).

38130967 is an equidigital number, since it uses as much as digits as its factorization.

38130967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5891 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 38130967 is about 6175.0276922456. The cubic root of 38130967 is about 336.5833327493.

The spelling of 38130967 in words is "thirty-eight million, one hundred thirty thousand, nine hundred sixty-seven".

Divisors: 1 7 19 49 133 343 931 5851 6517 40957 111169 286699 778183 2006893 5447281 38130967