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19980048 = 2431179479
BaseRepresentation
bin100110000110…
…1111100010000
31101121002110210
41030031330100
520103330143
61552124120
7331553604
oct114157420
941532423
1019980048
1110307340
126836640
1341a731a
142921504
151b4a033
hex130df10

19980048 has 80 divisors (see below), whose sum is σ = 57139200. Its totient is φ = 5965440.

The previous prime is 19980041. The next prime is 19980053. The reversal of 19980048 is 84008991.

It is a junction number, because it is equal to n+sod(n) for n = 19979988 and 19980015.

It is not an unprimeable number, because it can be changed into a prime (19980041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 41473 + ... + 41951.

It is an arithmetic number, because the mean of its divisors is an integer number (714240).

Almost surely, 219980048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19980048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28569600).

19980048 is an abundant number, since it is smaller than the sum of its proper divisors (37159152).

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

19980048 is a wasteful number, since it uses less digits than its factorization.

19980048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 19980048 is about 4469.9046969706. The cubic root of 19980048 is about 271.3514681934.

The spelling of 19980048 in words is "nineteen million, nine hundred eighty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 79 88 132 158 176 237 264 316 474 479 528 632 869 948 958 1264 1437 1738 1896 1916 2607 2874 3476 3792 3832 5214 5269 5748 6952 7664 10428 10538 11496 13904 15807 20856 21076 22992 31614 37841 41712 42152 63228 75682 84304 113523 126456 151364 227046 252912 302728 416251 454092 605456 832502 908184 1248753 1665004 1816368 2497506 3330008 4995012 6660016 9990024 19980048