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961000681 = 41471493347
BaseRepresentation
bin111001010001111…
…011010011101001
32110222021220002211
4321101323103221
53432004010211
6235205325121
732546241154
oct7121732351
92428256084
10961000681
11453507043
12229a067a1
13124133c74
14918b8c9b
155957ae21
hex3947b4e9

961000681 has 16 divisors (see below), whose sum is σ = 1012435200. Its totient is φ = 911182720.

The previous prime is 961000669. The next prime is 961000699. The reversal of 961000681 is 186000169.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 961000681 - 27 = 961000553 is a prime.

It is a super-2 number, since 2×9610006812 = 1847044617764927522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (961000181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285450 + ... + 288796.

It is an arithmetic number, because the mean of its divisors is an integer number (63277200).

Almost surely, 2961000681 is an apocalyptic number.

It is an amenable number.

961000681 is a deficient number, since it is larger than the sum of its proper divisors (51434519).

961000681 is a wasteful number, since it uses less digits than its factorization.

961000681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584.

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 961000681 is about 31000.0109838690. The cubic root of 961000681 is about 986.8274734226.

The spelling of 961000681 in words is "nine hundred sixty-one million, six hundred eighty-one", and thus it is an aban number.

Divisors: 1 41 47 149 1927 3347 6109 7003 137227 157309 287123 498703 6449669 20446823 23439041 961000681