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9886000140 = 22325174375133
BaseRepresentation
bin10010011010100000…
…00110010000001100
3221111222020211201100
421031100012100030
5130221304001030
64312551143100
7466661420562
oct111520062014
927458224640
109886000140
114213431255
121aba974a90
13c171b4633
1469ad69a32
153ccd90360
hex24d40640c

9886000140 has 144 divisors (see below), whose sum is σ = 32490345888. Its totient is φ = 2423457792.

The previous prime is 9886000127. The next prime is 9886000171. The reversal of 9886000140 is 410006889.

It is a happy number.

9886000140 is a `hidden beast` number, since 9 + 8 + 8 + 600 + 0 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9886000095 and 9886000104.

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 47 ways as a sum of consecutive naturals, for example, 94014 + ... + 169146.

It is an arithmetic number, because the mean of its divisors is an integer number (225627402).

Almost surely, 29886000140 is an apocalyptic number.

9886000140 is a gapful number since it is divisible by the number (90) 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 9886000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16245172944).

9886000140 is an abundant number, since it is smaller than the sum of its proper divisors (22604345748).

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

9886000140 is a wasteful number, since it uses less digits than its factorization.

9886000140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75208 (or 75203 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 9886000140 is about 99428.3668778684. The cubic root of 9886000140 is about 2146.2165397637.

The spelling of 9886000140 in words is "nine billion, eight hundred eighty-six million, one hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 43 45 51 60 68 85 86 90 102 129 153 170 172 180 204 215 255 258 306 340 387 430 510 516 612 645 731 765 774 860 1020 1290 1462 1530 1548 1935 2193 2580 2924 3060 3655 3870 4386 6579 7310 7740 8772 10965 13158 14620 21930 26316 32895 43860 65790 75133 131580 150266 225399 300532 375665 450798 676197 751330 901596 1126995 1277261 1352394 1502660 2253990 2554522 2704788 3230719 3380985 3831783 4507980 5109044 6386305 6461438 6761970 7663566 9692157 11495349 12772610 12922876 13523940 15327132 16153595 19158915 19384314 22990698 25545220 29076471 32307190 38317830 38768628 45981396 48460785 54922223 57476745 58152942 64614380 76635660 96921570 109844446 114953490 116305884 145382355 164766669 193843140 219688892 229906980 274611115 290764710 329533338 494300007 549222230 581529420 659066676 823833345 988600014 1098444460 1647666690 1977200028 2471500035 3295333380 4943000070 9886000140