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535140 = 22335991
BaseRepresentation
bin10000010101001100100
31000012002000
42002221210
5114111030
615245300
74356114
oct2025144
91005060
10535140
11336071
12219830
13159768
14dd044
15a8860
hex82a64

535140 has 48 divisors (see below), whose sum is σ = 1666560. Its totient is φ = 142560.

The previous prime is 535133. The next prime is 535151. The reversal of 535140 is 41535.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 535140.

It is an unprimeable number.

535140 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 45 + ... + 1035.

It is an arithmetic number, because the mean of its divisors is an integer number (34720).

2535140 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 535140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833280).

535140 is an abundant number, since it is smaller than the sum of its proper divisors (1131420).

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

535140 is a wasteful number, since it uses less digits than its factorization.

535140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 535140 is about 731.5326376861. The cubic root of 535140 is about 81.1874943330.

Adding to 535140 its reverse (41535), we get a palindrome (576675).

The spelling of 535140 in words is "five hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 991 1982 2973 3964 4955 5946 8919 9910 11892 14865 17838 19820 26757 29730 35676 44595 53514 59460 89190 107028 133785 178380 267570 535140