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20019984 = 2431133691
BaseRepresentation
bin100110001011…
…1101100010000
31101200010020220
41030113230100
520111114414
61553033040
7332111205
oct114275420
941603226
1020019984
1110334346
126855780
1341bc55a
142931cac
151b56ca9
hex1317b10

20019984 has 40 divisors (see below), whose sum is σ = 52190112. Its totient is φ = 6612480.

The previous prime is 20019973. The next prime is 20020001. The reversal of 20019984 is 48991002.

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 7 ways as a sum of consecutive naturals, for example, 3579 + ... + 7269.

Almost surely, 220019984 is an apocalyptic number.

20019984 is a gapful number since it is divisible by the number (24) 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 20019984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26095056).

20019984 is an abundant number, since it is smaller than the sum of its proper divisors (32170128).

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

20019984 is a wasteful number, since it uses less digits than its factorization.

20019984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 20019984 is about 4474.3696762784. The cubic root of 20019984 is about 271.5321397670.

It can be divided in two parts, 2001998 and 4, that added together give a palindrome (2002002).

The spelling of 20019984 in words is "twenty million, nineteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2712 3691 5424 7382 11073 14764 22146 29528 44292 59056 88584 177168 417083 834166 1251249 1668332 2502498 3336664 5004996 6673328 10009992 20019984