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530690496 = 26371723227
BaseRepresentation
bin11111101000011…
…011000111000000
31100222120212111120
4133220123013000
52041324043441
6124354312240
716102536420
oct3750330700
91328525446
10530690496
11252619696
12129888680
1385c3c45b
14506a4480
15318cb966
hex1fa1b1c0

530690496 has 112 divisors (see below), whose sum is σ = 1699174656. Its totient is φ = 142700544.

The previous prime is 530690491. The next prime is 530690497. The reversal of 530690496 is 694096035.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530690491) 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, 11235 + ... + 34461.

Almost surely, 2530690496 is an apocalyptic number.

530690496 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 530690496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849587328).

530690496 is an abundant number, since it is smaller than the sum of its proper divisors (1168484160).

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

530690496 is a wasteful number, since it uses less digits than its factorization.

530690496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23266 (or 23256 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 530690496 is about 23036.7205999465. The cubic root of 530690496 is about 809.6185248356.

The spelling of 530690496 in words is "five hundred thirty million, six hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2856 3264 3808 5712 7616 11424 22848 23227 46454 69681 92908 139362 162589 185816 278724 325178 371632 394859 487767 557448 650356 743264 789718 975534 1114896 1184577 1300712 1486528 1579436 1951068 2229792 2369154 2601424 2764013 3158872 3902136 4459584 4738308 5202848 5528026 6317744 7804272 8292039 9476616 10405696 11056052 12635488 15608544 16584078 18953232 22112104 25270976 31217088 33168156 37906464 44224208 66336312 75812928 88448416 132672624 176896832 265345248 530690496