Search a number
-
+
8676001 = 1731101163
BaseRepresentation
bin100001000110…
…001010100001
3121022210020101
4201012022201
54210113001
6505542401
7133513315
oct41061241
917283211
108676001
114996454
122aa4a01
131a4a039
14121bb45
15b65a01
hex8462a1

8676001 has 16 divisors (see below), whose sum is σ = 9635328. Its totient is φ = 7776000.

The previous prime is 8675923. The next prime is 8676013. The reversal of 8676001 is 1006768.

8676001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a 3-Lehmer number, since φ(8676001) divides (8676001-1)3.

It is a cyclic number.

It is not a de Polignac number, because 8676001 - 211 = 8673953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8676061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53146 + ... + 53308.

It is an arithmetic number, because the mean of its divisors is an integer number (602208).

Almost surely, 28676001 is an apocalyptic number.

It is an amenable number.

8676001 is a deficient number, since it is larger than the sum of its proper divisors (959327).

8676001 is a wasteful number, since it uses less digits than its factorization.

8676001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 8676001 is about 2945.5052198222. The cubic root of 8676001 is about 205.4817225729.

The spelling of 8676001 in words is "eight million, six hundred seventy-six thousand, one".

Divisors: 1 17 31 101 163 527 1717 2771 3131 5053 16463 53227 85901 279871 510353 8676001