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75607965 = 3351513709
BaseRepresentation
bin1001000000110…
…10111110011101
312021021021122000
410200122332131
5123323423330
611300312513
71605441246
oct440327635
9167237560
1075607965
1139751424
12213a2739
1312883254
14a081ccd
156987560
hex481af9d

75607965 has 32 divisors (see below), whose sum is σ = 135340800. Its totient is φ = 40046400.

The previous prime is 75607963. The next prime is 75607991. The reversal of 75607965 is 56970657.

It is a happy number.

It is not a de Polignac number, because 75607965 - 21 = 75607963 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 75607965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75607963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18531 + ... + 22239.

It is an arithmetic number, because the mean of its divisors is an integer number (4229400).

Almost surely, 275607965 is an apocalyptic number.

It is an amenable number.

75607965 is a deficient number, since it is larger than the sum of its proper divisors (59732835).

75607965 is a wasteful number, since it uses less digits than its factorization.

75607965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3874 (or 3868 counting only the distinct ones).

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

The square root of 75607965 is about 8695.2840666651. The cubic root of 75607965 is about 422.8527730676.

The spelling of 75607965 in words is "seventy-five million, six hundred seven thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 135 151 453 755 1359 2265 3709 4077 6795 11127 18545 20385 33381 55635 100143 166905 500715 560059 1680177 2800295 5040531 8400885 15121593 25202655 75607965