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35530 = 25111719
BaseRepresentation
bin1000101011001010
31210201221
420223022
52114110
6432254
7205405
oct105312
953657
1035530
1124770
121868a
1313231
14cd3c
15a7da
hex8aca

35530 has 32 divisors (see below), whose sum is σ = 77760. Its totient is φ = 11520.

The previous prime is 35527. The next prime is 35531. The reversal of 35530 is 3553.

It is a happy number.

35530 is nontrivially palindromic in base 13.

It is not an unprimeable number, because it can be changed into a prime (35531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1861 + ... + 1879.

It is an arithmetic number, because the mean of its divisors is an integer number (2430).

235530 is an apocalyptic number.

35530 is an abundant number, since it is smaller than the sum of its proper divisors (42230).

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 (38880).

35530 is a wasteful number, since it uses less digits than its factorization.

35530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54.

The product of its (nonzero) digits is 225, while the sum is 16.

The square root of 35530 is about 188.4940317358. The cubic root of 35530 is about 32.8749475920.

It can be divided in two parts, 35 and 530, that added together give a palindrome (565).

The spelling of 35530 in words is "thirty-five thousand, five hundred thirty".

Divisors: 1 2 5 10 11 17 19 22 34 38 55 85 95 110 170 187 190 209 323 374 418 646 935 1045 1615 1870 2090 3230 3553 7106 17765 35530