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840317513 = 7217149337
BaseRepresentation
bin110010000101100…
…011101001001001
32011120012112220212
4302011203221021
53210110130023
6215214530505
726552403200
oct6205435111
92146175825
10840317513
113a1378a92
121b5506a35
1310512b0c9
147d862237
154db8ce78
hex32163a49

840317513 has 6 divisors (see below), whose sum is σ = 977512266. Its totient is φ = 720272112.

The previous prime is 840317507. The next prime is 840317519. The reversal of 840317513 is 315713048.

It is an interprime number because it is at equal distance from previous prime (840317507) and next prime (840317519).

It can be written as a sum of positive squares in only one way, i.e., 571783744 + 268533769 = 23912^2 + 16387^2 .

It is a de Polignac number, because none of the positive numbers 2k-840317513 is a prime.

It is a super-2 number, since 2×8403175132 = 1412267045309010338, which contains 22 as substring.

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 840317513.

It is not an unprimeable number, because it can be changed into a prime (840317519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8574620 + ... + 8574717.

It is an arithmetic number, because the mean of its divisors is an integer number (162918711).

Almost surely, 2840317513 is an apocalyptic number.

It is an amenable number.

840317513 is a deficient number, since it is larger than the sum of its proper divisors (137194753).

840317513 is a wasteful number, since it uses less digits than its factorization.

840317513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17149351 (or 17149344 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 840317513 is about 28988.2305945016. The cubic root of 840317513 is about 943.6576643549.

The spelling of 840317513 in words is "eight hundred forty million, three hundred seventeen thousand, five hundred thirteen".

Divisors: 1 7 49 17149337 120045359 840317513