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989820 = 223451347
BaseRepresentation
bin11110001101001111100
31212021210000
43301221330
5223133240
633114300
711261526
oct3615174
91767700
10989820
11616737
123b8990
132886c0
141baa16
15148430
hexf1a7c

989820 has 120 divisors (see below), whose sum is σ = 3415104. Its totient is φ = 238464.

The previous prime is 989803. The next prime is 989827. The reversal of 989820 is 28989.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989827) by changing a digit.

989820 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21037 + ... + 21083.

2989820 is an apocalyptic number.

989820 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 989820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707552).

989820 is an abundant number, since it is smaller than the sum of its proper divisors (2425284).

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

989820 is a wasteful number, since it uses less digits than its factorization.

989820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 989820 is about 994.8969795914. The cubic root of 989820 is about 99.6595086388.

989820 divided by its sum of digits (36) gives a triangular number (27495 = T234).

The spelling of 989820 in words is "nine hundred eighty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 47 52 54 60 65 78 81 90 94 108 117 130 135 141 156 162 180 188 195 234 235 260 270 282 324 351 390 405 423 468 470 540 564 585 611 702 705 780 810 846 940 1053 1170 1222 1269 1404 1410 1620 1692 1755 1833 2106 2115 2340 2444 2538 2820 3055 3510 3666 3807 4212 4230 5076 5265 5499 6110 6345 7020 7332 7614 8460 9165 10530 10998 12220 12690 15228 16497 18330 19035 21060 21996 25380 27495 32994 36660 38070 49491 54990 65988 76140 82485 98982 109980 164970 197964 247455 329940 494910 989820