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530691168 = 253721011117
BaseRepresentation
bin11111101000011…
…011010001100000
31100222120220102110
4133220123101200
52041324104133
6124354315320
716102541400
oct3750332140
91328526373
10530691168
1125261a147
12129888b40
1385c3c857
14506a4800
15318cbc63
hex1fa1b460

530691168 has 144 divisors (see below), whose sum is σ = 1638013104. Its totient is φ = 149990400.

The previous prime is 530691151. The next prime is 530691169. The reversal of 530691168 is 861196035.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530691169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474546 + ... + 475662.

It is an arithmetic number, because the mean of its divisors is an integer number (11375091).

Almost surely, 2530691168 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 530691168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819006552).

530691168 is an abundant number, since it is smaller than the sum of its proper divisors (1107321936).

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

530691168 is a wasteful number, since it uses less digits than its factorization.

530691168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 530691168 is about 23036.7351853512. The cubic root of 530691168 is about 809.6188665686.

The spelling of 530691168 in words is "five hundred thirty million, six hundred ninety-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 101 112 147 168 196 202 224 294 303 336 392 404 588 606 672 707 784 808 1117 1176 1212 1414 1568 1616 2121 2234 2352 2424 2828 3232 3351 4242 4468 4704 4848 4949 5656 6702 7819 8484 8936 9696 9898 11312 13404 14847 15638 16968 17872 19796 22624 23457 26808 29694 31276 33936 35744 39592 46914 53616 54733 59388 62552 67872 79184 93828 107232 109466 112817 118776 125104 158368 164199 187656 218932 225634 237552 250208 328398 338451 375312 437864 451268 475104 656796 676902 750624 789719 875728 902536 1313592 1353804 1579438 1751456 1805072 2369157 2627184 2707608 3158876 3610144 4738314 5254368 5415216 5528033 6317752 9476628 10830432 11056066 12635504 16584099 18953256 22112132 25271008 33168198 37906512 44224264 66336396 75813024 88448528 132672792 176897056 265345584 530691168