[go: up one dir, main page]

Search a number
-
+
5680416 = 253779107
BaseRepresentation
bin10101101010110100100000
3101200121001210
4111222310200
52423233131
6321430120
766165660
oct25526440
911617053
105680416
11322a865
121a9b340
13123b6c1
14a7c1a0
15773146
hex56ad20

5680416 has 96 divisors (see below), whose sum is σ = 17418240. Its totient is φ = 1587456.

The previous prime is 5680403. The next prime is 5680453. The reversal of 5680416 is 6140865.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53035 + ... + 53141.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 25680416 is an apocalyptic number.

5680416 is a gapful number since it is divisible by the number (56) 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 5680416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709120).

5680416 is an abundant number, since it is smaller than the sum of its proper divisors (11737824).

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

5680416 is a wasteful number, since it uses less digits than its factorization.

5680416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5680416 is about 2383.3623308259. The cubic root of 5680416 is about 178.4267838355.

The spelling of 5680416 in words is "five million, six hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 79 84 96 107 112 158 168 214 224 237 316 321 336 428 474 553 632 642 672 749 856 948 1106 1264 1284 1498 1659 1712 1896 2212 2247 2528 2568 2996 3318 3424 3792 4424 4494 5136 5992 6636 7584 8453 8848 8988 10272 11984 13272 16906 17696 17976 23968 25359 26544 33812 35952 50718 53088 59171 67624 71904 101436 118342 135248 177513 202872 236684 270496 355026 405744 473368 710052 811488 946736 1420104 1893472 2840208 5680416