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5730480 = 243357379
BaseRepresentation
bin10101110111000010110000
3101210010202000
4111313002300
52431333410
6322454000
766464640
oct25670260
911703660
105730480
113264438
121b04300
131258422
14a92520
15782dc0
hex5770b0

5730480 has 160 divisors (see below), whose sum is σ = 22617600. Its totient is φ = 1306368.

The previous prime is 5730451. The next prime is 5730497. The reversal of 5730480 is 840375.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14931 + ... + 15309.

It is an arithmetic number, because the mean of its divisors is an integer number (141360).

Almost surely, 25730480 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 5730480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11308800).

5730480 is an abundant number, since it is smaller than the sum of its proper divisors (16887120).

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

5730480 is a wasteful number, since it uses less digits than its factorization.

5730480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5730480 is about 2393.8421000559. The cubic root of 5730480 is about 178.9494359016.

The spelling of 5730480 in words is "five million, seven hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 379 420 432 504 540 560 630 720 756 758 840 945 1008 1080 1137 1260 1512 1516 1680 1890 1895 2160 2274 2520 2653 3024 3032 3411 3780 3790 4548 5040 5306 5685 6064 6822 7560 7580 7959 9096 10233 10612 11370 13265 13644 15120 15160 15918 17055 18192 20466 21224 22740 23877 26530 27288 30320 31836 34110 39795 40932 42448 45480 47754 51165 53060 54576 63672 68220 71631 79590 81864 90960 95508 102330 106120 119385 127344 136440 143262 159180 163728 191016 204660 212240 238770 272880 286524 318360 358155 382032 409320 477540 573048 636720 716310 818640 955080 1146096 1432620 1910160 2865240 5730480