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8680868 = 2273173137
BaseRepresentation
bin100001000111…
…010110100100
3121100000220122
4201013112210
54210241433
6510021112
7133533440
oct41072644
917300818
108680868
11499a079
122aa7798
131a4c311
14121d820
15b67198
hex8475a4

8680868 has 48 divisors (see below), whose sum is σ = 18299904. Its totient is φ = 3525120.

The previous prime is 8680823. The next prime is 8680871.

8680868 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63296 + ... + 63432.

It is an arithmetic number, because the mean of its divisors is an integer number (381248).

Almost surely, 28680868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8680868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9149952).

8680868 is an abundant number, since it is smaller than the sum of its proper divisors (9619036).

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

8680868 is a wasteful number, since it uses less digits than its factorization.

8680868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 44.

The square root of 8680868 is about 2946.3312780473. The cubic root of 8680868 is about 205.5201386049.

The spelling of 8680868 in words is "eight million, six hundred eighty thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 14 28 31 62 73 124 137 146 217 274 292 434 511 548 868 959 1022 1918 2044 2263 3836 4247 4526 8494 9052 10001 15841 16988 20002 29729 31682 40004 59458 63364 70007 118916 140014 280028 310031 620062 1240124 2170217 4340434 8680868