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10668608 = 26891873
BaseRepresentation
bin101000101100…
…101001000000
3202002000120122
4220230221000
510212343413
61020355412
7156452546
oct50545100
922060518
1010668608
116027535
1236a5b68
132296cb2
1415b9d96
15e0b108
hexa2ca40

10668608 has 28 divisors (see below), whose sum is σ = 21419820. Its totient is φ = 5271552.

The previous prime is 10668599. The next prime is 10668613. The reversal of 10668608 is 80686601.

It can be written as a sum of positive squares in 2 ways, for example, as 984064 + 9684544 = 992^2 + 3112^2 .

It is a super-2 number, since 2×106686082 = 227638393315328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4760 + ... + 6632.

Almost surely, 210668608 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 10668608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10709910).

10668608 is an abundant number, since it is smaller than the sum of its proper divisors (10751212).

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

10668608 is an equidigital number, since it uses as much as digits as its factorization.

10668608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 10668608 is about 3266.2835149448. The cubic root of 10668608 is about 220.1418369109.

The spelling of 10668608 in words is "ten million, six hundred sixty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 64 89 178 356 712 1424 1873 2848 3746 5696 7492 14984 29968 59936 119872 166697 333394 666788 1333576 2667152 5334304 10668608