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760085101 = 19411039473
BaseRepresentation
bin101101010011011…
…111101001101101
31221222020022202001
4231103133221231
53024040210401
6203231132301
724556421356
oct5523375155
91858208661
10760085101
11360059206
12192674091
13c1618cc9
1472d38d2d
1546ae0601
hex2d4dfa6d

760085101 has 16 divisors (see below), whose sum is σ = 827648640. Its totient is φ = 695623680.

The previous prime is 760085087. The next prime is 760085107. The reversal of 760085101 is 101580067.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 760085101 - 25 = 760085069 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 760085101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760085107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75501 + ... + 84973.

It is an arithmetic number, because the mean of its divisors is an integer number (51728040).

Almost surely, 2760085101 is an apocalyptic number.

It is an amenable number.

760085101 is a deficient number, since it is larger than the sum of its proper divisors (67563539).

760085101 is a wasteful number, since it uses less digits than its factorization.

760085101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9636.

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 760085101 is about 27569.6409298344. The cubic root of 760085101 is about 912.6145878743.

The spelling of 760085101 in words is "seven hundred sixty million, eighty-five thousand, one hundred one".

Divisors: 1 19 41 103 779 1957 4223 9473 80237 179987 388393 975719 7379467 18538661 40004479 760085101