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19983880 = 2357149479
BaseRepresentation
bin100110000111…
…0111000001000
31101121021201201
41030032320020
520103441010
61552153544
7331601020
oct114167010
941537651
1019983880
111030a204
1268388b4
1341a8ca7
142922a80
151b4b23a
hex130ee08

19983880 has 64 divisors (see below), whose sum is σ = 51840000. Its totient is φ = 6791424.

The previous prime is 19983853. The next prime is 19983881. The reversal of 19983880 is 8838991.

It is a self number, because there is not a number n which added to its sum of digits gives 19983880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19983881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41481 + ... + 41959.

It is an arithmetic number, because the mean of its divisors is an integer number (810000).

Almost surely, 219983880 is an apocalyptic number.

19983880 is a gapful number since it is divisible by the number (10) 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 19983880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25920000).

19983880 is an abundant number, since it is smaller than the sum of its proper divisors (31856120).

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

19983880 is a wasteful number, since it uses less digits than its factorization.

19983880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 46.

The square root of 19983880 is about 4470.3333209057. Note that the first 4 decimals coincide. The cubic root of 19983880 is about 271.3688147043.

The spelling of 19983880 in words is "nineteen million, nine hundred eighty-three thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 149 280 298 479 596 745 958 1043 1192 1490 1916 2086 2395 2980 3353 3832 4172 4790 5215 5960 6706 8344 9580 10430 13412 16765 19160 20860 26824 33530 41720 67060 71371 134120 142742 285484 356855 499597 570968 713710 999194 1427420 1998388 2497985 2854840 3996776 4995970 9991940 19983880