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10416868 = 22711311091
BaseRepresentation
bin100111101111…
…001011100100
3201121020020221
4213233023210
510131314433
61011134124
7154353610
oct47571344
921536227
1010416868
115975390
1235a4344
132209537
141552340
15dab72d
hex9ef2e4

10416868 has 48 divisors (see below), whose sum is σ = 23482368. Its totient is φ = 3924000.

The previous prime is 10416853. The next prime is 10416871. The reversal of 10416868 is 86861401.

It is a super-2 number, since 2×104168682 = 217022277858848, which contains 22 as substring.

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, 9003 + ... + 10093.

It is an arithmetic number, because the mean of its divisors is an integer number (489216).

Almost surely, 210416868 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 10416868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11741184).

10416868 is an abundant number, since it is smaller than the sum of its proper divisors (13065500).

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

10416868 is a wasteful number, since it uses less digits than its factorization.

10416868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 10416868 is about 3227.5173121147. The cubic root of 10416868 is about 218.3965232219.

The spelling of 10416868 in words is "ten million, four hundred sixteen thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 124 154 217 308 341 434 682 868 1091 1364 2182 2387 4364 4774 7637 9548 12001 15274 24002 30548 33821 48004 67642 84007 135284 168014 236747 336028 372031 473494 744062 946988 1488124 2604217 5208434 10416868