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530736640 = 295724231
BaseRepresentation
bin11111101000100…
…110011000000000
31100222200012210121
4133220212120000
52041332033030
6124355310024
716103121100
oct3750463000
91328605717
10530736640
11252650325
121298ab314
1385c57465
14506b7200
15318da47a
hex1fa26600

530736640 has 120 divisors (see below), whose sum is σ = 1480632912. Its totient is φ = 181923840.

The previous prime is 530736631. The next prime is 530736641. The reversal of 530736640 is 46637035.

530736640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 530736596 and 530736605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530736641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123325 + ... + 127555.

Almost surely, 2530736640 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 530736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740316456).

530736640 is an abundant number, since it is smaller than the sum of its proper divisors (949896272).

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

530736640 is an equidigital number, since it uses as much as digits as its factorization.

530736640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4268 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 34.

The square root of 530736640 is about 23037.7221096184. The cubic root of 530736640 is about 809.6419898337.

The spelling of 530736640 in words is "five hundred thirty million, seven hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 512 560 640 784 896 980 1120 1280 1568 1792 1960 2240 2560 3136 3584 3920 4231 4480 6272 7840 8462 8960 12544 15680 16924 17920 21155 25088 29617 31360 33848 42310 59234 62720 67696 84620 118468 125440 135392 148085 169240 207319 236936 270784 296170 338480 414638 473872 541568 592340 676960 829276 947744 1036595 1083136 1184680 1353920 1658552 1895488 2073190 2166272 2369360 2707840 3317104 3790976 4146380 4738720 5415680 6634208 7581952 8292760 9477440 10831360 13268416 15163904 16585520 18954880 26536832 33171040 37909760 53073664 66342080 75819520 106147328 132684160 265368320 530736640