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75368001 = 3376111131
BaseRepresentation
bin1000111111000…
…00011001000001
312020211002110110
410133200121001
5123243234001
611251221533
71603421532
oct437403101
9166732413
1075368001
11395a8105
12212a78a9
13127cac67
14a01c689
15693b3d6
hex47e0641

75368001 has 16 divisors (see below), whose sum is σ = 104907968. Its totient is φ = 48081600.

The previous prime is 75367997. The next prime is 75368017. The reversal of 75368001 is 10086357.

It is not a de Polignac number, because 75368001 - 22 = 75367997 is a prime.

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 75368001.

It is not an unprimeable number, because it can be changed into a prime (75368201) 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 15 ways as a sum of consecutive naturals, for example, 1206 + ... + 12336.

It is an arithmetic number, because the mean of its divisors is an integer number (6556748).

Almost surely, 275368001 is an apocalyptic number.

It is an amenable number.

75368001 is a deficient number, since it is larger than the sum of its proper divisors (29539967).

75368001 is a wasteful number, since it uses less digits than its factorization.

75368001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11232.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 75368001 is about 8681.4745867278. The cubic root of 75368001 is about 422.4049499660.

The spelling of 75368001 in words is "seventy-five million, three hundred sixty-eight thousand, one".

Divisors: 1 3 37 61 111 183 2257 6771 11131 33393 411847 678991 1235541 2036973 25122667 75368001