Search a number
-
+
9839940 = 22351117877
BaseRepresentation
bin100101100010…
…010101000100
3200111220212020
4211202111010
510004334230
6550523140
7146431605
oct45422504
920456766
109839940
115610990
1233664b0
132066a66
141441dac
15ce5810
hex962544

9839940 has 96 divisors (see below), whose sum is σ = 31860864. Its totient is φ = 2242560.

The previous prime is 9839939. The next prime is 9839941. The reversal of 9839940 is 499389.

It is an interprime number because it is at equal distance from previous prime (9839939) and next prime (9839941).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 9839892 and 9839901.

It is not an unprimeable number, because it can be changed into a prime (9839941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10782 + ... + 11658.

It is an arithmetic number, because the mean of its divisors is an integer number (331884).

Almost surely, 29839940 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 9839940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15930432).

9839940 is an abundant number, since it is smaller than the sum of its proper divisors (22020924).

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

9839940 is a wasteful number, since it uses less digits than its factorization.

9839940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 9839940 is about 3136.8678646063. The cubic root of 9839940 is about 214.2878183920.

The spelling of 9839940 in words is "nine million, eight hundred thirty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 877 935 1020 1122 1754 1870 2244 2631 2805 3508 3740 4385 5262 5610 8770 9647 10524 11220 13155 14909 17540 19294 26310 28941 29818 38588 44727 48235 52620 57882 59636 74545 89454 96470 115764 144705 149090 163999 178908 192940 223635 289410 298180 327998 447270 491997 578820 655996 819995 894540 983994 1639990 1967988 2459985 3279980 4919970 9839940