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19982336 = 21111887
BaseRepresentation
bin100110000111…
…0100000000000
31101121012121112
41030032200000
520103413321
61552142452
7331563353
oct114164000
941535545
1019982336
1110309030
126837a28
1341a838a
14292229a
151b4aa5b
hex130e800

19982336 has 48 divisors (see below), whose sum is σ = 43636320. Its totient is φ = 9072640.

The previous prime is 19982317. The next prime is 19982341. The reversal of 19982336 is 63328991.

It is a junction number, because it is equal to n+sod(n) for n = 19982293 and 19982302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22085 + ... + 22971.

It is an arithmetic number, because the mean of its divisors is an integer number (909090).

Almost surely, 219982336 is an apocalyptic number.

19982336 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 19982336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21818160).

19982336 is an abundant number, since it is smaller than the sum of its proper divisors (23653984).

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

19982336 is an equidigital number, since it uses as much as digits as its factorization.

19982336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 900 counting only the distinct ones).

The product of its digits is 69984, while the sum is 41.

The square root of 19982336 is about 4470.1606235123. The cubic root of 19982336 is about 271.3618256671.

It can be divided in two parts, 1998 and 2336, that added together give a palindrome (4334).

The spelling of 19982336 in words is "nineteen million, nine hundred eighty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 887 1024 1408 1774 2048 2816 3548 5632 7096 9757 11264 14192 19514 22528 28384 39028 56768 78056 113536 156112 227072 312224 454144 624448 908288 1248896 1816576 2497792 4995584 9991168 19982336