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10985208 = 23313137257
BaseRepresentation
bin101001111001…
…111011111000
3202200002212120
4221321323320
510303011313
61031241240
7162241563
oct51717370
922602776
1010985208
116223393
123819220
132378130
14165d4da
15e6ed23
hexa79ef8

10985208 has 64 divisors (see below), whose sum is σ = 29907360. Its totient is φ = 3342336.

The previous prime is 10985207. The next prime is 10985209. The reversal of 10985208 is 80258901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10985207) and next prime (10985209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10985201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42616 + ... + 42872.

Almost surely, 210985208 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 10985208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14953680).

10985208 is an abundant number, since it is smaller than the sum of its proper divisors (18922152).

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

10985208 is a wasteful number, since it uses less digits than its factorization.

10985208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 10985208 is about 3314.3940622684. The cubic root of 10985208 is about 222.2982761163.

The spelling of 10985208 in words is "ten million, nine hundred eighty-five thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 137 156 257 274 312 411 514 548 771 822 1028 1096 1542 1644 1781 2056 3084 3288 3341 3562 5343 6168 6682 7124 10023 10686 13364 14248 20046 21372 26728 35209 40092 42744 70418 80184 105627 140836 211254 281672 422508 457717 845016 915434 1373151 1830868 2746302 3661736 5492604 10985208