Search a number
-
+
989696340 = 223352963199
BaseRepresentation
bin111010111111011…
…001000101010100
32112222021210011000
4322333121011110
54011330240330
6242112343300
733345165033
oct7277310524
92488253130
10989696340
11468726566
12237544b30
1312a070349
149562871a
155bd48560
hex3afd9154

989696340 has 96 divisors (see below), whose sum is σ = 3185280000. Its totient is φ = 254814336.

The previous prime is 989696317. The next prime is 989696341. The reversal of 989696340 is 43696989.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989696341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15940 + ... + 47259.

It is an arithmetic number, because the mean of its divisors is an integer number (33180000).

Almost surely, 2989696340 is an apocalyptic number.

989696340 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

989696340 is an abundant number, since it is smaller than the sum of its proper divisors (2195583660).

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

989696340 is a wasteful number, since it uses less digits than its factorization.

989696340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63246 (or 63238 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 989696340 is about 31459.4396008575. The cubic root of 989696340 is about 996.5535825185.

The spelling of 989696340 in words is "nine hundred eighty-nine million, six hundred ninety-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 3132 3915 5220 7830 15660 63199 126398 189597 252796 315995 379194 568791 631990 758388 947985 1137582 1263980 1706373 1832771 1895970 2275164 2843955 3412746 3665542 3791940 5498313 5687910 6825492 7331084 8531865 9163855 10996626 11375820 16494939 17063730 18327710 21993252 27491565 32989878 34127460 36655420 49484817 54983130 65979756 82474695 98969634 109966260 164949390 197939268 247424085 329898780 494848170 989696340