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20098584 = 2333112769
BaseRepresentation
bin100110010101…
…0111000011000
31101211010002000
41030222320120
520121123314
61554441000
7332556312
oct114527030
941733060
1020098584
1110388400
126893160
13421926c
1429527b2
151b70209
hex132ae18

20098584 has 96 divisors (see below), whose sum is σ = 61446000. Its totient is φ = 6082560.

The previous prime is 20098577. The next prime is 20098591. The reversal of 20098584 is 48589002.

It is an interprime number because it is at equal distance from previous prime (20098577) and next prime (20098591).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25752 + ... + 26520.

Almost surely, 220098584 is an apocalyptic number.

20098584 is a gapful number since it is divisible by the number (24) 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 20098584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30723000).

20098584 is an abundant number, since it is smaller than the sum of its proper divisors (41347416).

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

20098584 is a wasteful number, since it uses less digits than its factorization.

20098584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 20098584 is about 4483.1444322038. The cubic root of 20098584 is about 271.8870277675.

The spelling of 20098584 in words is "twenty million, ninety-eight thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 198 216 242 264 297 363 396 484 594 726 769 792 968 1089 1188 1452 1538 2178 2307 2376 2904 3076 3267 4356 4614 6152 6534 6921 8459 8712 9228 13068 13842 16918 18456 20763 25377 26136 27684 33836 41526 50754 55368 67672 76131 83052 93049 101508 152262 166104 186098 203016 228393 279147 304524 372196 456786 558294 609048 744392 837441 913572 1116588 1674882 1827144 2233176 2512323 3349764 5024646 6699528 10049292 20098584