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10668656 = 241761643
BaseRepresentation
bin101000101100…
…101001110000
3202002000122102
4220230221300
510212344111
61020355532
7156452645
oct50545160
922060572
1010668656
116027579
1236a5ba8
13229701b
1415b9dcc
15e0b13b
hexa2ca70

10668656 has 40 divisors (see below), whose sum is σ = 22279824. Its totient is φ = 4930560.

The previous prime is 10668653. The next prime is 10668659. The reversal of 10668656 is 65686601.

It is an interprime number because it is at equal distance from previous prime (10668653) and next prime (10668659).

It is a super-2 number, since 2×106686562 = 227640441692672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10668653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16271 + ... + 16913.

Almost surely, 210668656 is an apocalyptic number.

10668656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10668656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11139912).

10668656 is an abundant number, since it is smaller than the sum of its proper divisors (11611168).

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

10668656 is a wasteful number, since it uses less digits than its factorization.

10668656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 10668656 is about 3266.2908627371. The cubic root of 10668656 is about 220.1421670630.

The spelling of 10668656 in words is "ten million, six hundred sixty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 61 68 122 136 244 272 488 643 976 1037 1286 2074 2572 4148 5144 8296 10288 10931 16592 21862 39223 43724 78446 87448 156892 174896 313784 627568 666791 1333582 2667164 5334328 10668656