Search a number
-
+
535122 = 232731137
BaseRepresentation
bin10000010101001010010
31000012001100
42002221102
5114110442
615245230
74356060
oct2025122
91005040
10535122
11336055
12219816
13159753
14dd030
15a884c
hex82a52

535122 has 48 divisors (see below), whose sum is σ = 1377792. Its totient is φ = 146880.

The previous prime is 535103. The next prime is 535123. The reversal of 535122 is 221535.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 535095 and 535104.

It is not an unprimeable number, because it can be changed into a prime (535123) 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 23 ways as a sum of consecutive naturals, for example, 3838 + ... + 3974.

It is an arithmetic number, because the mean of its divisors is an integer number (28704).

2535122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688896).

535122 is an abundant number, since it is smaller than the sum of its proper divisors (842670).

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

535122 is a wasteful number, since it uses less digits than its factorization.

535122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 180 counting only the distinct ones).

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

The square root of 535122 is about 731.5203346456. The cubic root of 535122 is about 81.1865840470.

Adding to 535122 its reverse (221535), we get a palindrome (756657).

The spelling of 535122 in words is "five hundred thirty-five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 137 186 217 274 279 411 434 558 651 822 959 1233 1302 1918 1953 2466 2877 3906 4247 5754 8494 8631 12741 17262 25482 29729 38223 59458 76446 89187 178374 267561 535122