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80535 = 3571359
BaseRepresentation
bin10011101010010111
311002110210
4103222113
510034120
61420503
7453540
oct235227
9132423
1080535
1155564
123a733
132a870
14214c7
1518ce0
hex13a97

80535 has 32 divisors (see below), whose sum is σ = 161280. Its totient is φ = 33408.

The previous prime is 80527. The next prime is 80537. The reversal of 80535 is 53508.

80535 is an admirable number.

It is not a de Polignac number, because 80535 - 23 = 80527 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1336 + ... + 1394.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

280535 is an apocalyptic number.

80535 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640).

80535 is a wasteful number, since it uses less digits than its factorization.

80535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 80535 is about 283.7868918749. The cubic root of 80535 is about 43.1845323569.

The spelling of 80535 in words is "eighty thousand, five hundred thirty-five".

Divisors: 1 3 5 7 13 15 21 35 39 59 65 91 105 177 195 273 295 413 455 767 885 1239 1365 2065 2301 3835 5369 6195 11505 16107 26845 80535