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10984890 = 2357172181
BaseRepresentation
bin101001111001…
…110110111010
3202200002102210
4221321312322
510303004030
61031235550
7162240630
oct51716672
922602383
1010984890
116223124
123818bb6
132377c47
14165d350
15e6ebb0
hexa79dba

10984890 has 96 divisors (see below), whose sum is σ = 32183424. Its totient is φ = 2350080.

The previous prime is 10984889. The next prime is 10984891. The reversal of 10984890 is 9848901.

It is an interprime number because it is at equal distance from previous prime (10984889) and next prime (10984891).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10984891) 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, 60600 + ... + 60780.

It is an arithmetic number, because the mean of its divisors is an integer number (335244).

Almost surely, 210984890 is an apocalyptic number.

10984890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10984890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16091712).

10984890 is an abundant number, since it is smaller than the sum of its proper divisors (21198534).

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

10984890 is a wasteful number, since it uses less digits than its factorization.

10984890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 10984890 is about 3314.3460893516. The cubic root of 10984890 is about 222.2961310641.

The spelling of 10984890 in words is "ten million, nine hundred eighty-four thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 181 210 238 255 289 357 362 510 543 578 595 714 867 905 1086 1190 1267 1445 1734 1785 1810 2023 2534 2715 2890 3077 3570 3801 4046 4335 5430 6069 6154 6335 7602 8670 9231 10115 12138 12670 15385 18462 19005 20230 21539 30345 30770 38010 43078 46155 52309 60690 64617 92310 104618 107695 129234 156927 215390 261545 313854 323085 366163 523090 646170 732326 784635 1098489 1569270 1830815 2196978 3661630 5492445 10984890