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5730816 = 29371341
BaseRepresentation
bin10101110111001000000000
3101210011012110
4111313020000
52431341231
6322455320
766465630
oct25671000
911704173
105730816
113264713
121b04540
131258620
14a926c0
15783046
hex577200

5730816 has 160 divisors (see below), whose sum is σ = 19248768. Its totient is φ = 1474560.

The previous prime is 5730811. The next prime is 5730821. The reversal of 5730816 is 6180375.

It is an interprime number because it is at equal distance from previous prime (5730811) and next prime (5730821).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5730811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139756 + ... + 139796.

Almost surely, 25730816 is an apocalyptic number.

5730816 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 5730816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9624384).

5730816 is an abundant number, since it is smaller than the sum of its proper divisors (13517952).

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

5730816 is a wasteful number, since it uses less digits than its factorization.

5730816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 5730816 is about 2393.9122790946. The cubic root of 5730816 is about 178.9529333302.

The spelling of 5730816 in words is "five million, seven hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 41 42 48 52 56 64 78 82 84 91 96 104 112 123 128 156 164 168 182 192 208 224 246 256 273 287 312 328 336 364 384 416 448 492 512 533 546 574 624 656 672 728 768 832 861 896 984 1066 1092 1148 1248 1312 1344 1456 1536 1599 1664 1722 1792 1968 2132 2184 2296 2496 2624 2688 2912 3198 3328 3444 3584 3731 3936 4264 4368 4592 4992 5248 5376 5824 6396 6656 6888 7462 7872 8528 8736 9184 9984 10496 10752 11193 11648 12792 13776 14924 15744 17056 17472 18368 19968 20992 22386 23296 25584 27552 29848 31488 34112 34944 36736 44772 46592 51168 55104 59696 62976 68224 69888 73472 89544 102336 110208 119392 136448 139776 146944 179088 204672 220416 238784 272896 358176 409344 440832 477568 716352 818688 955136 1432704 1910272 2865408 5730816