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8000685 = 3257112309
BaseRepresentation
bin11110100001010010101101
3120001110212200
4132201102231
54022010220
6443252113
7125001420
oct36412255
916043780
108000685
114575040
12281a039
131871844
1410c39b7
15a80890
hex7a14ad

8000685 has 48 divisors (see below), whose sum is σ = 17297280. Its totient is φ = 3323520.

The previous prime is 8000683. The next prime is 8000689. The reversal of 8000685 is 5860008.

8000685 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 8000685 - 21 = 8000683 is a prime.

8000685 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8000683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2311 + ... + 4619.

It is an arithmetic number, because the mean of its divisors is an integer number (360360).

Almost surely, 28000685 is an apocalyptic number.

It is an amenable number.

8000685 is an abundant number, since it is smaller than the sum of its proper divisors (9296595).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8000685 is a wasteful number, since it uses less digits than its factorization.

8000685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8000685 is about 2828.5482141905. The cubic root of 8000685 is about 200.0057081704.

The spelling of 8000685 in words is "eight million, six hundred eighty-five", and thus it is an aban number.

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 2309 3465 6927 11545 16163 20781 25399 34635 48489 76197 80815 103905 126995 145467 177793 228591 242445 380985 533379 727335 888965 1142955 1600137 2666895 8000685