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163088820 = 2232517223239
BaseRepresentation
bin10011011100010…
…00100110110100
3102100212202210200
421232020212310
5313222320240
624103320500
74020142416
oct1156104664
9370782720
10163088820
1184072054
1246750130
1327a3267b
14179349b6
15e4b7930
hex9b889b4

163088820 has 144 divisors (see below), whose sum is σ = 528353280. Its totient is φ = 40578048.

The previous prime is 163088801. The next prime is 163088833. The reversal of 163088820 is 28880361.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 682261 + ... + 682499.

It is an arithmetic number, because the mean of its divisors is an integer number (3669120).

Almost surely, 2163088820 is an apocalyptic number.

163088820 is a gapful number since it is divisible by the number (10) 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 163088820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

163088820 is an abundant number, since it is smaller than the sum of its proper divisors (365264460).

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

163088820 is a wasteful number, since it uses less digits than its factorization.

163088820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 163088820 is about 12770.6233207311. The cubic root of 163088820 is about 546.3547587816.

The spelling of 163088820 in words is "one hundred sixty-three million, eighty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 223 239 255 306 340 446 478 510 612 669 717 765 892 956 1020 1115 1195 1338 1434 1530 2007 2151 2230 2390 2676 2868 3060 3345 3585 3791 4014 4063 4302 4460 4780 6690 7170 7582 8028 8126 8604 10035 10755 11373 12189 13380 14340 15164 16252 18955 20070 20315 21510 22746 24378 34119 36567 37910 40140 40630 43020 45492 48756 53297 56865 60945 68238 73134 75820 81260 106594 113730 121890 136476 146268 159891 170595 182835 213188 227460 243780 266485 319782 341190 365670 479673 532970 639564 682380 731340 799455 906049 959346 1065940 1598910 1812098 1918692 2398365 2718147 3197820 3624196 4530245 4796730 5436294 8154441 9060490 9593460 10872588 13590735 16308882 18120980 27181470 32617764 40772205 54362940 81544410 163088820