[go: up one dir, main page]

Search a number
-
+
20774304 = 2532531361
BaseRepresentation
bin100111100111…
…1110110100000
31110002102222200
41033033312200
520304234204
62021133200
7341402325
oct117176640
943072880
1020774304
11107aa051
126b5a200
1343c49b5
142a8ab4c
151c55539
hex13cfda0

20774304 has 72 divisors (see below), whose sum is σ = 60235812. Its totient is φ = 6789120.

The previous prime is 20774293. The next prime is 20774317. The reversal of 20774304 is 40347702.

It can be written as a sum of positive squares in 2 ways, for example, as 20684304 + 90000 = 4548^2 + 300^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14584 + ... + 15944.

Almost surely, 220774304 is an apocalyptic number.

20774304 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 20774304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30117906).

20774304 is an abundant number, since it is smaller than the sum of its proper divisors (39461508).

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

20774304 is a wasteful number, since it uses less digits than its factorization.

20774304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 20774304 is about 4557.8837194470. The cubic root of 20774304 is about 274.9004774858.

The spelling of 20774304 in words is "twenty million, seven hundred seventy-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1361 1696 1908 2544 2722 3816 4083 5088 5444 7632 8166 10888 12249 15264 16332 21776 24498 32664 43552 48996 65328 72133 97992 130656 144266 195984 216399 288532 391968 432798 577064 649197 865596 1154128 1298394 1731192 2308256 2596788 3462384 5193576 6924768 10387152 20774304