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10985880 = 2335831103
BaseRepresentation
bin101001111010…
…000110011000
3202200010210110
4221322012120
510303022010
61031244320
7162243543
oct51720630
922603713
1010985880
116223944
1238196a0
132378529
14165d85a
15e70120
hexa7a198

10985880 has 64 divisors (see below), whose sum is σ = 33384960. Its totient is φ = 2891648.

The previous prime is 10985869. The next prime is 10985899. The reversal of 10985880 is 8858901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9409 + ... + 10511.

It is an arithmetic number, because the mean of its divisors is an integer number (521640).

Almost surely, 210985880 is an apocalyptic number.

10985880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10985880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16692480).

10985880 is an abundant number, since it is smaller than the sum of its proper divisors (22399080).

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

10985880 is a wasteful number, since it uses less digits than its factorization.

10985880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The square root of 10985880 is about 3314.4954367143. The cubic root of 10985880 is about 222.3028089206.

The spelling of 10985880 in words is "ten million, nine hundred eighty-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1103 1245 1660 1992 2206 2490 3309 3320 4412 4980 5515 6618 8824 9960 11030 13236 16545 22060 26472 33090 44120 66180 91549 132360 183098 274647 366196 457745 549294 732392 915490 1098588 1373235 1830980 2197176 2746470 3661960 5492940 10985880