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19639984 = 2472134147
BaseRepresentation
bin100101011101…
…0111010110000
31100221210222211
41022322322300
520011434414
61540541504
7325636300
oct112727260
940853884
1019639984
11100a48a1
1266b1894
1340b85c0
142873600
151ace3c4
hex12baeb0

19639984 has 120 divisors (see below), whose sum is σ = 49871808. Its totient is φ = 7418880.

The previous prime is 19639967. The next prime is 19640003. The reversal of 19639984 is 48993691.

It is a Harshad number since it is a multiple of its sum of digits (49).

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 23 ways as a sum of consecutive naturals, for example, 417849 + ... + 417895.

Almost surely, 219639984 is an apocalyptic number.

19639984 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 19639984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24935904).

19639984 is an abundant number, since it is smaller than the sum of its proper divisors (30231824).

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

19639984 is a wasteful number, since it uses less digits than its factorization.

19639984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 110 counting only the distinct ones).

The product of its digits is 419904, while the sum is 49.

The square root of 19639984 is about 4431.7021560570. The cubic root of 19639984 is about 269.8031670124.

The spelling of 19639984 in words is "nineteen million, six hundred thirty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 41 47 49 52 56 82 91 94 98 104 112 164 182 188 196 208 287 328 329 364 376 392 533 574 611 637 656 658 728 752 784 1066 1148 1222 1274 1316 1456 1927 2009 2132 2296 2303 2444 2548 2632 3731 3854 4018 4264 4277 4592 4606 4888 5096 5264 7462 7708 8036 8528 8554 9212 9776 10192 13489 14924 15416 16072 17108 18424 25051 26117 26978 29848 29939 30832 32144 34216 36848 50102 52234 53956 59696 59878 68432 94423 100204 104468 107912 119756 175357 188846 200408 208936 215824 239512 350714 377692 400816 417872 479024 701428 755384 1227499 1402856 1510768 2454998 2805712 4909996 9819992 19639984