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89809980 = 223513217521
BaseRepresentation
bin1010101101001…
…10010000111100
320020222211010120
411112212100330
5140442404410
612524534540
72140241451
oct526462074
9206884116
1089809980
1146771627
12260b1450
13157b6600
14bcdb828
157d40570
hex55a643c

89809980 has 144 divisors (see below), whose sum is σ = 288870624. Its totient is φ = 20766720.

The previous prime is 89809969. The next prime is 89809987. The reversal of 89809980 is 8990898.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89809987) by changing a digit.

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, 172120 + ... + 172640.

It is an arithmetic number, because the mean of its divisors is an integer number (2006046).

Almost surely, 289809980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89809980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144435312).

89809980 is an abundant number, since it is smaller than the sum of its proper divisors (199060644).

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

89809980 is a wasteful number, since it uses less digits than its factorization.

89809980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 51.

The square root of 89809980 is about 9476.8127553519. The cubic root of 89809980 is about 447.8248611222.

The spelling of 89809980 in words is "eighty-nine million, eight hundred nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 169 170 195 204 221 255 260 338 340 390 442 507 510 521 663 676 780 845 884 1014 1020 1042 1105 1326 1563 1690 2028 2084 2210 2535 2605 2652 2873 3126 3315 3380 4420 5070 5210 5746 6252 6630 6773 7815 8619 8857 10140 10420 11492 13260 13546 14365 15630 17238 17714 20319 26571 27092 28730 31260 33865 34476 35428 40638 43095 44285 53142 57460 67730 81276 86190 88049 88570 101595 106284 115141 132855 135460 172380 176098 177140 203190 230282 264147 265710 345423 352196 406380 440245 460564 528294 531420 575705 690846 880490 1056588 1151410 1320735 1381692 1496833 1727115 1760980 2302820 2641470 2993666 3454230 4490499 5282940 5987332 6908460 7484165 8980998 14968330 17961996 22452495 29936660 44904990 89809980