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420688717 = 11317892081
BaseRepresentation
bin11001000100110…
…011001101001101
31002022121012102121
4121010303031031
51330144014332
6105424452541
713265536501
oct3104631515
91068535377
10420688717
111a6516729
12b8a7a151
1369206347
143dc2c301
1526ded797
hex1913334d

420688717 has 8 divisors (see below), whose sum is σ = 424852920. Its totient is φ = 416532480.

The previous prime is 420688711. The next prime is 420688721. The reversal of 420688717 is 717886024.

It can be written as a sum of positive squares in 4 ways, for example, as 32046921 + 388641796 = 5661^2 + 19714^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-420688717 is a prime.

It is a super-2 number, since 2×4206887172 = 353957993222212178, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420688711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201117 + ... + 203197.

It is an arithmetic number, because the mean of its divisors is an integer number (53106615).

Almost surely, 2420688717 is an apocalyptic number.

It is an amenable number.

420688717 is a deficient number, since it is larger than the sum of its proper divisors (4164203).

420688717 is a wasteful number, since it uses less digits than its factorization.

420688717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3983.

The product of its (nonzero) digits is 150528, while the sum is 43.

The square root of 420688717 is about 20510.6976234354. The cubic root of 420688717 is about 749.2963575376.

The spelling of 420688717 in words is "four hundred twenty million, six hundred eighty-eight thousand, seven hundred seventeen".

Divisors: 1 113 1789 2081 202157 235153 3722909 420688717