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75067965 = 345726479
BaseRepresentation
bin1000111100101…
…11001000111101
312020020211220000
410132113020331
5123204133330
611240544513
71601032020
oct436271075
9166224800
1075067965
1139412745
1221182139
131272451b
149d811b7
1568cc560
hex479723d

75067965 has 40 divisors (see below), whose sum is σ = 153795840. Its totient is φ = 34315488.

The previous prime is 75067963. The next prime is 75068011. The reversal of 75067965 is 56976057.

It is a happy number.

It is not a de Polignac number, because 75067965 - 21 = 75067963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 75067965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75067961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10405 + ... + 16074.

It is an arithmetic number, because the mean of its divisors is an integer number (3844896).

Almost surely, 275067965 is an apocalyptic number.

It is an amenable number.

75067965 is an abundant number, since it is smaller than the sum of its proper divisors (78727875).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75067965 is a wasteful number, since it uses less digits than its factorization.

75067965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26503 (or 26494 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 75067965 is about 8664.1771103781. The cubic root of 75067965 is about 421.8436806379.

The spelling of 75067965 in words is "seventy-five million, sixty-seven thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 26479 79437 132395 185353 238311 397185 556059 714933 926765 1191555 1668177 2144799 2780295 3574665 5004531 8340885 10723995 15013593 25022655 75067965