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20619984 = 2437211797
BaseRepresentation
bin100111010101…
…0001011010000
31102210121022010
41032222023100
520234314414
62013542520
7340160400
oct116521320
942717263
1020619984
1110704110
126aa4a40
13436c698
142a4a800
151c24959
hex13aa2d0

20619984 has 120 divisors (see below), whose sum is σ = 67683168. Its totient is φ = 5349120.

The previous prime is 20619979. The next prime is 20620003. The reversal of 20619984 is 48991602.

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, 25474 + ... + 26270.

Almost surely, 220619984 is an apocalyptic number.

20619984 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 20619984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33841584).

20619984 is an abundant number, since it is smaller than the sum of its proper divisors (47063184).

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

20619984 is a wasteful number, since it uses less digits than its factorization.

20619984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 20619984 is about 4540.9232541412. The cubic root of 20619984 is about 274.2180940699.

The spelling of 20619984 in words is "twenty million, six hundred nineteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 264 294 308 336 392 462 528 539 588 616 784 797 924 1078 1176 1232 1594 1617 1848 2156 2352 2391 3188 3234 3696 4312 4782 5579 6376 6468 8624 8767 9564 11158 12752 12936 16737 17534 19128 22316 25872 26301 33474 35068 38256 39053 44632 52602 61369 66948 70136 78106 89264 105204 117159 122738 133896 140272 156212 184107 210408 234318 245476 267792 312424 368214 420816 429583 468636 490952 624848 736428 859166 937272 981904 1288749 1472856 1718332 1874544 2577498 2945712 3436664 5154996 6873328 10309992 20619984