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10664838 = 233414817
BaseRepresentation
bin101000101011…
…101110000110
3202001211102000
4220223232012
510212233323
61020330130
7156435552
oct50535606
922054360
1010664838
116024718
1236a3946
132295372
1415b8862
15e09e43
hexa2bb86

10664838 has 32 divisors (see below), whose sum is σ = 24282720. Its totient is φ = 3467520.

The previous prime is 10664821. The next prime is 10664851. The reversal of 10664838 is 83846601.

It is a happy number.

10664838 is a `hidden beast` number, since 1 + 0 + 6 + 648 + 3 + 8 = 666.

10664838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106648382 = 227477539132488, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 195 + ... + 4622.

It is an arithmetic number, because the mean of its divisors is an integer number (758835).

Almost surely, 210664838 is an apocalyptic number.

10664838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10664838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12141360).

10664838 is an abundant number, since it is smaller than the sum of its proper divisors (13617882).

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

10664838 is a wasteful number, since it uses less digits than its factorization.

10664838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4869 (or 4863 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 10664838 is about 3265.7063554459. The cubic root of 10664838 is about 220.1159031151.

The spelling of 10664838 in words is "ten million, six hundred sixty-four thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 2214 4817 9634 14451 28902 43353 86706 130059 197497 260118 394994 592491 1184982 1777473 3554946 5332419 10664838