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5730496 = 261723229
BaseRepresentation
bin10101110111000011000000
3101210010202121
4111313003000
52431333441
6322454024
766464662
oct25670300
911703677
105730496
113264452
121b04314
131258435
14a92532
15782dd1
hex5770c0

5730496 has 56 divisors (see below), whose sum is σ = 12618720. Its totient is φ = 2568192.

The previous prime is 5730451. The next prime is 5730497. The reversal of 5730496 is 6940375.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (5730497) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24910 + ... + 25138.

Almost surely, 25730496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5730496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6309360).

5730496 is an abundant number, since it is smaller than the sum of its proper divisors (6888224).

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

5730496 is a wasteful number, since it uses less digits than its factorization.

5730496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 5730496 is about 2393.8454419615. The cubic root of 5730496 is about 178.9496024489.

It can be divided in two parts, 5730 and 496, that added together give a palindrome (6226).

The spelling of 5730496 in words is "five million, seven hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 136 184 229 272 368 391 458 544 736 782 916 1088 1472 1564 1832 3128 3664 3893 5267 6256 7328 7786 10534 12512 14656 15572 21068 25024 31144 42136 62288 84272 89539 124576 168544 179078 249152 337088 358156 716312 1432624 2865248 5730496