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8380017 = 34103457
BaseRepresentation
bin11111111101111001110001
3120202202020000
4133331321301
54121130032
6455340213
7131141352
oct37757161
916682200
108380017
114804038
122981669
1319753b9
141181d29
15b07e7c
hex7fde71

8380017 has 10 divisors (see below), whose sum is σ = 12518418. Its totient is φ = 5586624.

The previous prime is 8379961. The next prime is 8380037. The reversal of 8380017 is 7100838.

It can be written as a sum of positive squares in only one way, i.e., 6533136 + 1846881 = 2556^2 + 1359^2 .

It is not a de Polignac number, because 8380017 - 211 = 8377969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8380037) 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 9 ways as a sum of consecutive naturals, for example, 51648 + ... + 51809.

Almost surely, 28380017 is an apocalyptic number.

It is an amenable number.

8380017 is a deficient number, since it is larger than the sum of its proper divisors (4138401).

8380017 is a wasteful number, since it uses less digits than its factorization.

8380017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103469 (or 103460 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 8380017 is about 2894.8259015008. The cubic root of 8380017 is about 203.1179477473.

The spelling of 8380017 in words is "eight million, three hundred eighty thousand, seventeen".

Divisors: 1 3 9 27 81 103457 310371 931113 2793339 8380017