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989838990 = 232573150683
BaseRepresentation
bin111010111111111…
…011111010001110
32112222120000211100
4322333323322032
54011344321430
6242115403530
733346330650
oct7277737216
92488500740
10989838990
11468813758
122375b35a6
1312a0c025a
14956646d0
155bd75960
hex3affbe8e

989838990 has 96 divisors (see below), whose sum is σ = 3036174336. Its totient is φ = 218946240.

The previous prime is 989838947. The next prime is 989839051. The reversal of 989838990 is 99838989.

989838990 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9898389902 = 1959562452248440200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5812 + ... + 44871.

It is an arithmetic number, because the mean of its divisors is an integer number (31626816).

Almost surely, 2989838990 is an apocalyptic number.

989838990 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 989838990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518087168).

989838990 is an abundant number, since it is smaller than the sum of its proper divisors (2046335346).

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

989838990 is a wasteful number, since it uses less digits than its factorization.

989838990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50734 (or 50731 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The square root of 989838990 is about 31461.7067242068. The cubic root of 989838990 is about 996.6014596748.

The spelling of 989838990 in words is "nine hundred eighty-nine million, eight hundred thirty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 62 63 70 90 93 105 126 155 186 210 217 279 310 315 434 465 558 630 651 930 1085 1302 1395 1953 2170 2790 3255 3906 6510 9765 19530 50683 101366 152049 253415 304098 354781 456147 506830 709562 760245 912294 1064343 1520490 1571173 1773905 2128686 2280735 3142346 3193029 3547810 4561470 4713519 5321715 6386058 7855865 9427038 10643430 10998211 14140557 15711730 15965145 21996422 23567595 28281114 31930290 32994633 47135190 54991055 65989266 70702785 98983899 109982110 141405570 164973165 197967798 329946330 494919495 989838990