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19979856 = 2432132821
BaseRepresentation
bin100110000110…
…1111001010000
31101121002012200
41030031321100
520103323411
61552123200
7331553211
oct114157120
941532180
1019979856
1110307186
126836500
1341a7200
142921408
151b49e56
hex130de50

19979856 has 90 divisors (see below), whose sum is σ = 60621678. Its totient is φ = 6140160.

The previous prime is 19979807. The next prime is 19979891. The reversal of 19979856 is 65897991.

19979856 = 412 + 422 + ... + 3912.

It can be written as a sum of positive squares in 3 ways, for example, as 266256 + 19713600 = 516^2 + 4440^2 .

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 17 ways as a sum of consecutive naturals, for example, 23926 + ... + 24746.

Almost surely, 219979856 is an apocalyptic number.

19979856 is a gapful number since it is divisible by the number (16) 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 19979856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30310839).

19979856 is an abundant number, since it is smaller than the sum of its proper divisors (40641822).

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

19979856 is a wasteful number, since it uses less digits than its factorization.

19979856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 839 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 54.

The square root of 19979856 is about 4469.8832199511. The cubic root of 19979856 is about 271.3505989988.

It can be divided in two parts, 1997985 and 6, that added together give a palindrome (1997991).

The spelling of 19979856 in words is "nineteen million, nine hundred seventy-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 821 936 1014 1352 1521 1642 1872 2028 2463 2704 3042 3284 4056 4926 6084 6568 7389 8112 9852 10673 12168 13136 14778 19704 21346 24336 29556 32019 39408 42692 59112 64038 85384 96057 118224 128076 138749 170768 192114 256152 277498 384228 416247 512304 554996 768456 832494 1109992 1248741 1536912 1664988 2219984 2497482 3329976 4994964 6659952 9989928 19979856