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542520 = 2332511137
BaseRepresentation
bin10000100011100111000
31000120012100
42010130320
5114330040
615343400
74416456
oct2043470
91016170
10542520
11340670
12221b60
1315cc24
141019d6
15aab30
hex84738

542520 has 96 divisors (see below), whose sum is σ = 1937520. Its totient is φ = 130560.

The previous prime is 542519. The next prime is 542533. The reversal of 542520 is 25245.

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 = 542493 and 542502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3892 + ... + 4028.

2542520 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 542520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968760).

542520 is an abundant number, since it is smaller than the sum of its proper divisors (1395000).

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

542520 is a wasteful number, since it uses less digits than its factorization.

542520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 542520 is about 736.5595698923. The cubic root of 542520 is about 81.5590047826.

Adding to 542520 its reverse (25245), we get a palindrome (567765).

It can be divided in two parts, 5425 and 20, that added together give a palindrome (5445).

The spelling of 542520 in words is "five hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 137 165 180 198 220 264 274 330 360 396 411 440 495 548 660 685 792 822 990 1096 1233 1320 1370 1507 1644 1980 2055 2466 2740 3014 3288 3960 4110 4521 4932 5480 6028 6165 7535 8220 9042 9864 12056 12330 13563 15070 16440 18084 22605 24660 27126 30140 36168 45210 49320 54252 60280 67815 90420 108504 135630 180840 271260 542520