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530661560 = 2351113113821
BaseRepresentation
bin11111101000010…
…100000010111000
31100222112101210212
4133220110002320
52041322132220
6124353530252
716102356152
oct3750240270
91328471725
10530661560
112525a9980
12129873988
1385c2c230
1450697ad2
15318c30c5
hex1fa140b8

530661560 has 128 divisors (see below), whose sum is σ = 1416864960. Its totient is φ = 176332800.

The previous prime is 530661533. The next prime is 530661569. The reversal of 530661560 is 65166035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530661569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 645950 + ... + 646770.

Almost surely, 2530661560 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 530661560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708432480).

530661560 is an abundant number, since it is smaller than the sum of its proper divisors (886203400).

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

530661560 is a wasteful number, since it uses less digits than its factorization.

530661560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 530661560 is about 23036.0925506041. The cubic root of 530661560 is about 809.6038097002.

It can be divided in two parts, 5306 and 61560, that added together give a palindrome (66866).

The spelling of 530661560 in words is "five hundred thirty million, six hundred sixty-one thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 113 130 143 220 226 260 286 440 452 520 565 572 715 821 904 1130 1144 1243 1430 1469 1642 2260 2486 2860 2938 3284 4105 4520 4972 5720 5876 6215 6568 7345 8210 9031 9944 10673 11752 12430 14690 16159 16420 18062 21346 24860 29380 32318 32840 36124 42692 45155 49720 53365 58760 64636 72248 80795 85384 90310 92773 106730 117403 129272 161590 180620 185546 213460 234806 323180 361240 371092 426920 463865 469612 587015 646360 742184 927730 939224 1020503 1174030 1206049 1855460 2041006 2348060 2412098 3710920 4082012 4696120 4824196 5102515 6030245 8164024 9648392 10205030 12060490 13266539 20410060 24120980 26533078 40820120 48241960 53066156 66332695 106132312 132665390 265330780 530661560