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989333190 = 238517887
BaseRepresentation
bin111010111110000…
…000011011000110
32112221121100000000
4322332000123012
54011232130230
6242100502130
733342123216
oct7276003306
92487540000
10989333190
114684a873a
122373aa946
13129c73c71
1495572246
155bcc5b60
hex3af806c6

989333190 has 144 divisors (see below), whose sum is σ = 2831373792. Its totient is φ = 248023296.

The previous prime is 989333183. The next prime is 989333237. The reversal of 989333190 is 91333989.

989333190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9893331902 = 1957560321671152200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1114927 + ... + 1115813.

It is an arithmetic number, because the mean of its divisors is an integer number (19662318).

Almost surely, 2989333190 is an apocalyptic number.

989333190 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 989333190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415686896).

989333190 is an abundant number, since it is smaller than the sum of its proper divisors (1842040602).

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

989333190 is an equidigital number, since it uses as much as digits as its factorization.

989333190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 989333190 is about 31453.6673537443. The cubic root of 989333190 is about 996.4316788962.

The spelling of 989333190 in words is "nine hundred eighty-nine million, three hundred thirty-three thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 243 255 270 306 405 459 486 510 729 765 810 887 918 1215 1377 1458 1530 1774 2187 2295 2430 2661 2754 3645 4131 4374 4435 4590 5322 6561 6885 7290 7983 8262 8870 10935 12393 13122 13305 13770 15079 15966 20655 21870 23949 24786 26610 30158 32805 37179 39915 41310 45237 47898 61965 65610 71847 74358 75395 79830 90474 111537 119745 123930 135711 143694 150790 185895 215541 223074 226185 239490 271422 359235 371790 407133 431082 452370 557685 646623 678555 718470 814266 1077705 1115370 1221399 1293246 1357110 1939869 2035665 2155410 2442798 3233115 3664197 3879738 4071330 5819607 6106995 6466230 7328394 9699345 10992591 11639214 12213990 18320985 19398690 21985182 29098035 32977773 36641970 54962955 58196070 65955546 98933319 109925910 164888865 197866638 329777730 494666595 989333190