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10668868 = 2272291877
BaseRepresentation
bin101000101100…
…101101000100
3202002000221021
4220230231010
510212400433
61020400524
7156453400
oct50545504
922060837
1010668868
116027751
1236a6144
132297152
1415ba100
15e0b22d
hexa2cb44

10668868 has 36 divisors (see below), whose sum is σ = 22479660. Its totient is φ = 4412352.

The previous prime is 10668851. The next prime is 10668883. The reversal of 10668868 is 86886601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6140484 + 4528384 = 2478^2 + 2128^2 .

It is a super-2 number, since 2×106688682 = 227649488802848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4746 + ... + 6622.

It is an arithmetic number, because the mean of its divisors is an integer number (624435).

Almost surely, 210668868 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 10668868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11239830).

10668868 is an abundant number, since it is smaller than the sum of its proper divisors (11810792).

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

10668868 is a wasteful number, since it uses less digits than its factorization.

10668868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 10668868 is about 3266.3233152889. The cubic root of 10668868 is about 220.1436252233.

The spelling of 10668868 in words is "ten million, six hundred sixty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 812 1421 1877 2842 3754 5684 7508 13139 26278 52556 54433 91973 108866 183946 217732 367892 381031 762062 1524124 2667217 5334434 10668868