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534240 = 25325753
BaseRepresentation
bin10000010011011100000
31000010211200
42002123200
5114043430
615241200
74353360
oct2023340
91003750
10534240
11335423
12219200
13159225
14dc9a0
15a8460
hex826e0

534240 has 144 divisors (see below), whose sum is σ = 2122848. Its totient is φ = 119808.

The previous prime is 534229. The next prime is 534241. The reversal of 534240 is 42435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 106 × 90 × 56.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534241) by changing a digit.

534240 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 23 ways as a sum of consecutive naturals, for example, 10054 + ... + 10106.

It is an arithmetic number, because the mean of its divisors is an integer number (14742).

2534240 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 534240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061424).

534240 is an abundant number, since it is smaller than the sum of its proper divisors (1588608).

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

534240 is a wasteful number, since it uses less digits than its factorization.

534240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 534240 is about 730.9172319764. The cubic root of 534240 is about 81.1419550065.

Adding to 534240 its reverse (42435), we get a palindrome (576675).

The spelling of 534240 in words is "five hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 53 56 60 63 70 72 80 84 90 96 105 106 112 120 126 140 144 159 160 168 180 210 212 224 240 252 265 280 288 315 318 336 360 371 420 424 477 480 504 530 560 630 636 672 720 742 795 840 848 954 1008 1060 1113 1120 1260 1272 1440 1484 1590 1680 1696 1855 1908 2016 2120 2226 2385 2520 2544 2968 3180 3339 3360 3710 3816 4240 4452 4770 5040 5088 5565 5936 6360 6678 7420 7632 8480 8904 9540 10080 11130 11872 12720 13356 14840 15264 16695 17808 19080 22260 25440 26712 29680 33390 35616 38160 44520 53424 59360 66780 76320 89040 106848 133560 178080 267120 534240