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535164 = 223723277
BaseRepresentation
bin10000010101001111100
31000012002220
42002221330
5114111124
615245340
74356150
oct2025174
91005086
10535164
11336093
12219850
13159786
14dd060
15a8879
hex82a7c

535164 has 48 divisors (see below), whose sum is σ = 1494528. Its totient is φ = 145728.

The previous prime is 535159. The next prime is 535169. The reversal of 535164 is 461535.

It is an interprime number because it is at equal distance from previous prime (535159) and next prime (535169).

It is a d-powerful number, because it can be written as 53 + 312 + 1 + 55 + 63 + 44 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1794 + ... + 2070.

It is an arithmetic number, because the mean of its divisors is an integer number (31136).

2535164 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 535164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747264).

535164 is an abundant number, since it is smaller than the sum of its proper divisors (959364).

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

535164 is a wasteful number, since it uses less digits than its factorization.

535164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 312 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 535164 is about 731.5490414183. The cubic root of 535164 is about 81.1887080159.

Adding to 535164 its reverse (461535), we get a palindrome (996699).

The spelling of 535164 in words is "five hundred thirty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 277 322 483 554 644 831 966 1108 1662 1932 1939 3324 3878 5817 6371 7756 11634 12742 19113 23268 25484 38226 44597 76452 89194 133791 178388 267582 535164