Search a number
-
+
530343072 = 25337212527
BaseRepresentation
bin11111100111000…
…110010010100000
31100221221012221000
4133213012102200
52041231434242
6124343032000
716066561500
oct3747062240
91327835830
10530343072
11252401666
1212973b600
1385b4a28c
1450613a00
153185da4c
hex1f9c64a0

530343072 has 144 divisors (see below), whose sum is σ = 1799521920. Its totient is φ = 151514496.

The previous prime is 530343061. The next prime is 530343083. The reversal of 530343072 is 270343035.

530343072 is a `hidden beast` number, since 530 + 34 + 30 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (530343061) and next prime (530343083).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36073 + ... + 48599.

It is an arithmetic number, because the mean of its divisors is an integer number (12496680).

Almost surely, 2530343072 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 530343072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899760960).

530343072 is an abundant number, since it is smaller than the sum of its proper divisors (1269178848).

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

530343072 is a wasteful number, since it uses less digits than its factorization.

530343072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12560 (or 12539 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 530343072 is about 23029.1787087599. The cubic root of 530343072 is about 809.4418102142.

The spelling of 530343072 in words is "five hundred thirty million, three hundred forty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 12527 14112 21168 25054 37581 42336 50108 75162 87689 100216 112743 150324 175378 200432 225486 263067 300648 338229 350756 400864 450972 526134 601296 613823 676458 701512 789201 901944 1052268 1202592 1227646 1352916 1403024 1578402 1803888 1841469 2104536 2367603 2455292 2705832 2806048 3156804 3607776 3682938 4209072 4735206 4910584 5411664 5524407 6313608 7365876 8418144 9470412 9821168 10823328 11048814 12627216 14731752 16573221 18940824 19642336 22097628 25254432 29463504 33146442 37881648 44195256 58927008 66292884 75763296 88390512 132585768 176781024 265171536 530343072