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968460413 = 73121310937
BaseRepresentation
bin111001101110011…
…000100001111101
32111111022212221012
4321232120201331
53440411213123
6240033245005
732666530514
oct7156304175
92444285835
10968460413
11457741708
12230403765
131258464cb
149289b67b
155a051378
hex39b9887d

968460413 has 8 divisors (see below), whose sum is σ = 982626168. Its totient is φ = 954319104.

The previous prime is 968460407. The next prime is 968460431. The reversal of 968460413 is 314064869.

It can be written as a sum of positive squares in 4 ways, for example, as 163149529 + 805310884 = 12773^2 + 28378^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 968460413 - 212 = 968456317 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968460443) 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 7 ways as a sum of consecutive naturals, for example, 83081 + ... + 94017.

It is an arithmetic number, because the mean of its divisors is an integer number (122828271).

Almost surely, 2968460413 is an apocalyptic number.

It is an amenable number.

968460413 is a deficient number, since it is larger than the sum of its proper divisors (14165755).

968460413 is a wasteful number, since it uses less digits than its factorization.

968460413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12223.

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 968460413 is about 31120.0966097472. The cubic root of 968460413 is about 989.3742987055.

The spelling of 968460413 in words is "nine hundred sixty-eight million, four hundred sixty thousand, four hundred thirteen".

Divisors: 1 73 1213 10937 88549 798401 13266581 968460413