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535000840 = 235114328277
BaseRepresentation
bin11111111000110…
…111011100001000
31101021200212011221
4133320313130020
52043430011330
6125030531424
716154301133
oct3770673410
91337625157
10535000840
11254aa3060
1212b206b74
1386abb35a
14510a721a
1531e7db7a
hex1fe37708

535000840 has 64 divisors (see below), whose sum is σ = 1343770560. Its totient is φ = 190014720.

The previous prime is 535000813. The next prime is 535000889. The reversal of 535000840 is 48000535.

It is a happy number.

535000840 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4782 + ... + 33058.

It is an arithmetic number, because the mean of its divisors is an integer number (20996415).

Almost surely, 2535000840 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 535000840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671885280).

535000840 is an abundant number, since it is smaller than the sum of its proper divisors (808769720).

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

535000840 is a wasteful number, since it uses less digits than its factorization.

535000840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28342 (or 28338 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 535000840 is about 23130.0851706171. The cubic root of 535000840 is about 811.8045627992.

The spelling of 535000840 in words is "five hundred thirty-five million, eight hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 430 440 473 860 946 1720 1892 2365 3784 4730 9460 18920 28277 56554 113108 141385 226216 282770 311047 565540 622094 1131080 1215911 1244188 1555235 2431822 2488376 3110470 4863644 6079555 6220940 9727288 12159110 12441880 13375021 24318220 26750042 48636440 53500084 66875105 107000168 133750210 267500420 535000840