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9981040 = 2451741179
BaseRepresentation
bin100110000100…
…110001110000
3200210002102011
4212010301300
510023343130
6553532304
7150560146
oct46046160
920702364
109981040
1156a79a3
123414094
1320b6054
14147b596
15d2252a
hex984c70

9981040 has 80 divisors (see below), whose sum is σ = 25310880. Its totient is φ = 3645440.

The previous prime is 9981001. The next prime is 9981043. The reversal of 9981040 is 401899.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 9980993 and 9981011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9981043) 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, 55671 + ... + 55849.

It is an arithmetic number, because the mean of its divisors is an integer number (316386).

Almost surely, 29981040 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 9981040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12655440).

9981040 is an abundant number, since it is smaller than the sum of its proper divisors (15329840).

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

9981040 is a wasteful number, since it uses less digits than its factorization.

9981040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 9981040 is about 3159.2783986221. The cubic root of 9981040 is about 215.3072225867.

The spelling of 9981040 in words is "nine million, nine hundred eighty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 41 68 80 82 85 136 164 170 179 205 272 328 340 358 410 656 680 697 716 820 895 1360 1394 1432 1640 1790 2788 2864 3043 3280 3485 3580 5576 6086 6970 7160 7339 11152 12172 13940 14320 14678 15215 24344 27880 29356 30430 36695 48688 55760 58712 60860 73390 117424 121720 124763 146780 243440 249526 293560 499052 587120 623815 998104 1247630 1996208 2495260 4990520 9981040