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19989984 = 2537151197
BaseRepresentation
bin100110001000…
…0010111100000
31101121121002210
41030100113200
520104134414
61552242120
7331624560
oct114202740
941547083
1019989984
1110313853
126840340
1341ab9c1
142924da0
151b4ce59
hex13105e0

19989984 has 96 divisors (see below), whose sum is σ = 60673536. Its totient is φ = 5644800.

The previous prime is 19989973. The next prime is 19989997. The reversal of 19989984 is 48998991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101374 + ... + 101570.

It is an arithmetic number, because the mean of its divisors is an integer number (632016).

Almost surely, 219989984 is an apocalyptic number.

19989984 is a gapful number since it is divisible by the number (14) 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 19989984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30336768).

19989984 is an abundant number, since it is smaller than the sum of its proper divisors (40683552).

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

19989984 is a wasteful number, since it uses less digits than its factorization.

19989984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 57.

The square root of 19989984 is about 4471.0159919195. The cubic root of 19989984 is about 271.3964414151.

The spelling of 19989984 in words is "nineteen million, nine hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 151 168 197 224 302 336 394 453 591 604 672 788 906 1057 1182 1208 1379 1576 1812 2114 2364 2416 2758 3152 3171 3624 4137 4228 4728 4832 5516 6304 6342 7248 8274 8456 9456 11032 12684 14496 16548 16912 18912 22064 25368 29747 33096 33824 44128 50736 59494 66192 89241 101472 118988 132384 178482 208229 237976 356964 416458 475952 624687 713928 832916 951904 1249374 1427856 1665832 2498748 2855712 3331664 4997496 6663328 9994992 19989984