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535120 = 2456689
BaseRepresentation
bin10000010101001010000
31000012001021
42002221100
5114110440
615245224
74356055
oct2025120
91005037
10535120
11336053
12219814
13159751
14dd02c
15a884a
hex82a50

535120 has 20 divisors (see below), whose sum is σ = 1244340. Its totient is φ = 214016.

The previous prime is 535103. The next prime is 535123. The reversal of 535120 is 21535.

It can be written as a sum of positive squares in 2 ways, for example, as 327184 + 207936 = 572^2 + 456^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 535094 and 535103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535123) by changing a digit.

535120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3265 + ... + 3424.

It is an arithmetic number, because the mean of its divisors is an integer number (62217).

2535120 is an apocalyptic number.

It is an amenable number.

535120 is an abundant number, since it is smaller than the sum of its proper divisors (709220).

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

535120 is a wasteful number, since it uses less digits than its factorization.

535120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6702 (or 6696 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 535120 is about 731.5189676283. The cubic root of 535120 is about 81.1864829029.

Adding to 535120 its reverse (21535), we get a palindrome (556655).

The spelling of 535120 in words is "five hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 6689 13378 26756 33445 53512 66890 107024 133780 267560 535120