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19984896 = 29324337
BaseRepresentation
bin100110000111…
…1001000000000
31101121100010100
41030033020000
520104004041
61552202400
7331604001
oct114171000
941540110
1019984896
111030aa48
126839400
1341a95a9
1429231a8
151b4b6b6
hex130f200

19984896 has 60 divisors (see below), whose sum is σ = 57691062. Its totient is φ = 6660096.

The previous prime is 19984891. The next prime is 19984897. The reversal of 19984896 is 69848991.

It can be written as a sum of positive squares in only one way, i.e., 19927296 + 57600 = 4464^2 + 240^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (19984891) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2440 + ... + 6776.

Almost surely, 219984896 is an apocalyptic number.

19984896 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 19984896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28845531).

19984896 is an abundant number, since it is smaller than the sum of its proper divisors (37706166).

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

19984896 is an equidigital number, since it uses as much as digits as its factorization.

19984896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4361 (or 4342 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 19984896 is about 4470.4469575200. The cubic root of 19984896 is about 271.3734135116.

The spelling of 19984896 in words is "nineteen million, nine hundred eighty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4337 4608 8674 13011 17348 26022 34696 39033 52044 69392 78066 104088 138784 156132 208176 277568 312264 416352 555136 624528 832704 1110272 1249056 1665408 2220544 2498112 3330816 4996224 6661632 9992448 19984896