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535068 = 223289167
BaseRepresentation
bin10000010101000011100
31000011222100
42002220130
5114110233
615245100
74355652
oct2025034
91004870
10535068
11336006
12219790
13159711
14dcdd2
15a8813
hex82a1c

535068 has 36 divisors (see below), whose sum is σ = 1375920. Its totient is φ = 175296.

The previous prime is 535061. The next prime is 535099. The reversal of 535068 is 860535.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535061) by changing a digit.

535068 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 11 ways as a sum of consecutive naturals, for example, 3121 + ... + 3287.

It is an arithmetic number, because the mean of its divisors is an integer number (38220).

2535068 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 535068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687960).

535068 is an abundant number, since it is smaller than the sum of its proper divisors (840852).

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

535068 is a wasteful number, since it uses less digits than its factorization.

535068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 535068 is about 731.4834242825. The cubic root of 535068 is about 81.1838530667.

Adding to 535068 its sum of digits (27), we get a triangular number (535095 = T1034).

The spelling of 535068 in words is "five hundred thirty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 89 167 178 267 334 356 501 534 668 801 1002 1068 1503 1602 2004 3006 3204 6012 14863 29726 44589 59452 89178 133767 178356 267534 535068