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5730984 = 2332783137
BaseRepresentation
bin10101110111001010101000
3101210011102200
4111313022220
52431342414
6322500200
766466260
oct25671250
911704380
105730984
113264856
121b04660
13125871c
14a927a0
15783109
hex5772a8

5730984 has 96 divisors (see below), whose sum is σ = 18083520. Its totient is φ = 1605888.

The previous prime is 5730983. The next prime is 5731013. The reversal of 5730984 is 4890375.

5730984 is a `hidden beast` number, since 573 + 0 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5730983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41764 + ... + 41900.

It is an arithmetic number, because the mean of its divisors is an integer number (188370).

Almost surely, 25730984 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 5730984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9041760).

5730984 is an abundant number, since it is smaller than the sum of its proper divisors (12352536).

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

5730984 is a wasteful number, since it uses less digits than its factorization.

5730984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5730984 is about 2393.9473678425. The cubic root of 5730984 is about 178.9546819933.

The spelling of 5730984 in words is "five million, seven hundred thirty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 83 84 126 137 166 168 249 252 274 332 411 498 504 548 581 664 747 822 959 996 1096 1162 1233 1494 1644 1743 1918 1992 2324 2466 2877 2988 3288 3486 3836 4648 4932 5229 5754 5976 6972 7672 8631 9864 10458 11371 11508 13944 17262 20916 22742 23016 34113 34524 41832 45484 68226 69048 79597 90968 102339 136452 159194 204678 238791 272904 318388 409356 477582 636776 716373 818712 955164 1432746 1910328 2865492 5730984