Search a number
-
+
75368969 = 1331718289
BaseRepresentation
bin1000111111000…
…00101000001001
312020211010210022
410133200220021
5123243301334
611251230225
71603424414
oct437405011
9166733708
1075368969
11395a8905
12212a8375
13127cb530
14a01cb7b
15693b82e
hex47e0a09

75368969 has 8 divisors (see below), whose sum is σ = 81427080. Its totient is φ = 69348096.

The previous prime is 75368959. The next prime is 75368971. The reversal of 75368969 is 96986357.

It can be written as a sum of positive squares in 4 ways, for example, as 4892944 + 70476025 = 2212^2 + 8395^2 .

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 75368969 - 212 = 75364873 is a prime.

It is a super-2 number, since 2×753689692 = 11360962976245922, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 75368969.

It is not an unprimeable number, because it can be changed into a prime (75368929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5024 + ... + 13265.

It is an arithmetic number, because the mean of its divisors is an integer number (10178385).

Almost surely, 275368969 is an apocalyptic number.

It is an amenable number.

75368969 is a deficient number, since it is larger than the sum of its proper divisors (6058111).

75368969 is a wasteful number, since it uses less digits than its factorization.

75368969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18619.

The product of its digits is 2449440, while the sum is 53.

The square root of 75368969 is about 8681.5303374463. The cubic root of 75368969 is about 422.4067583650.

The spelling of 75368969 in words is "seventy-five million, three hundred sixty-eight thousand, nine hundred sixty-nine".

Divisors: 1 13 317 4121 18289 237757 5797613 75368969