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535116660 = 2235131315237
BaseRepresentation
bin11111111001010…
…011101101110100
31101021220202001120
4133321103231310
52043442213120
6125033223540
716155262611
oct3771235564
91337822046
10535116660
11255072081
1212b261bb0
1386b2bca0
14510d7508
1531ea3140
hex1fe53b74

535116660 has 96 divisors (see below), whose sum is σ = 1626210432. Its totient is φ = 130690560.

The previous prime is 535116653. The next prime is 535116661. The reversal of 535116660 is 66611535.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535116661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99562 + ... + 104798.

It is an arithmetic number, because the mean of its divisors is an integer number (16939692).

Almost surely, 2535116660 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 535116660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813105216).

535116660 is an abundant number, since it is smaller than the sum of its proper divisors (1091093772).

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

535116660 is a wasteful number, since it uses less digits than its factorization.

535116660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5393 (or 5391 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 535116660 is about 23132.5887007918. The cubic root of 535116660 is about 811.8631399161.

The spelling of 535116660 in words is "five hundred thirty-five million, one hundred sixteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 131 156 195 260 262 390 393 524 655 780 786 1310 1572 1703 1965 2620 3406 3930 5109 5237 6812 7860 8515 10218 10474 15711 17030 20436 20948 25545 26185 31422 34060 51090 52370 62844 68081 78555 102180 104740 136162 157110 204243 272324 314220 340405 408486 680810 686047 816972 1021215 1361620 1372094 2042430 2058141 2744188 3430235 4084860 4116282 6860470 8232564 8918611 10290705 13720940 17837222 20581410 26755833 35674444 41162820 44593055 53511666 89186110 107023332 133779165 178372220 267558330 535116660