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10830666 = 23721117197
BaseRepresentation
bin101001010100…
…001101001010
3202101020212210
4221110031022
510233040131
61024045550
7161026200
oct51241512
922336783
1010830666
116128270
1237638b6
1323229a2
14161d070
15e3e146
hexa5434a

10830666 has 96 divisors (see below), whose sum is σ = 29253312. Its totient is φ = 2634240.

The previous prime is 10830641. The next prime is 10830667. The reversal of 10830666 is 66603801.

It is not an unprimeable number, because it can be changed into a prime (10830667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54880 + ... + 55076.

It is an arithmetic number, because the mean of its divisors is an integer number (304722).

Almost surely, 210830666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10830666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14626656).

10830666 is an abundant number, since it is smaller than the sum of its proper divisors (18422646).

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

10830666 is a wasteful number, since it uses less digits than its factorization.

10830666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 10830666 is about 3290.9977210566. The cubic root of 10830666 is about 221.2509042703.

The spelling of 10830666 in words is "ten million, eight hundred thirty thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 49 51 66 77 98 102 119 147 154 187 197 231 238 294 357 374 394 462 539 561 591 714 833 1078 1122 1182 1309 1379 1617 1666 2167 2499 2618 2758 3234 3349 3927 4137 4334 4998 6501 6698 7854 8274 9163 9653 10047 13002 15169 18326 19306 20094 23443 27489 28959 30338 36839 45507 46886 54978 57918 70329 73678 91014 106183 110517 140658 164101 212366 221034 257873 318549 328202 492303 515746 637098 773619 984606 1547238 1805111 3610222 5415333 10830666