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9983240 = 235318397
BaseRepresentation
bin100110000101…
…010100001000
3200210012102122
4212011110020
510023430430
6553550412
7150566441
oct46052410
920705378
109983240
1156a9613
123415408
1320b7057
14147c2c8
15d22ee5
hex985508

9983240 has 64 divisors (see below), whose sum is σ = 23708160. Its totient is φ = 3778560.

The previous prime is 9983231. The next prime is 9983243. The reversal of 9983240 is 423899.

It is a self number, because there is not a number n which added to its sum of digits gives 9983240.

It is not an unprimeable number, because it can be changed into a prime (9983243) 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, 102872 + ... + 102968.

It is an arithmetic number, because the mean of its divisors is an integer number (370440).

Almost surely, 29983240 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 9983240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11854080).

9983240 is an abundant number, since it is smaller than the sum of its proper divisors (13724920).

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

9983240 is a wasteful number, since it uses less digits than its factorization.

9983240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 9983240 is about 3159.6265602125. The cubic root of 9983240 is about 215.3230406141.

The spelling of 9983240 in words is "nine million, nine hundred eighty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 83 97 124 155 166 194 248 310 332 388 415 485 620 664 776 830 970 1240 1660 1940 2573 3007 3320 3880 5146 6014 8051 10292 12028 12865 15035 16102 20584 24056 25730 30070 32204 40255 51460 60140 64408 80510 102920 120280 161020 249581 322040 499162 998324 1247905 1996648 2495810 4991620 9983240