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20531232 = 2534892
BaseRepresentation
bin100111001010…
…0100000100000
31102122002120000
41032110200200
520223444412
62012020000
7336340551
oct116244040
942562500
1020531232
1110653467
126a61600
13433b177
142a26328
151c084dc
hex1394820

20531232 has 90 divisors (see below), whose sum is σ = 61067853. Its totient is φ = 6766848.

The previous prime is 20531219. The next prime is 20531243. The reversal of 20531232 is 23213502.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 18352656 + 2178576 = 4284^2 + 1476^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3204.

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

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 230644 + ... + 230732.

Almost surely, 220531232 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 20531232

20531232 is an abundant number, since it is smaller than the sum of its proper divisors (40536621).

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

20531232 is an frugal number, since it uses more digits than its factorization.

20531232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 20531232 is about 4531.1402538434. The cubic root of 20531232 is about 273.8241007882.

Multiplying 20531232 by its sum of digits (18), we get a square (369562176 = 192242).

20531232 divided by its sum of digits (18) gives a square (1140624 = 10682).

Adding to 20531232 its reverse (23213502), we get a palindrome (43744734).

The spelling of 20531232 in words is "twenty million, five hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 89 96 108 144 162 178 216 267 288 324 356 432 534 648 712 801 864 1068 1296 1424 1602 2136 2403 2592 2848 3204 4272 4806 6408 7209 7921 8544 9612 12816 14418 15842 19224 23763 25632 28836 31684 38448 47526 57672 63368 71289 76896 95052 115344 126736 142578 190104 213867 230688 253472 285156 380208 427734 570312 641601 760416 855468 1140624 1283202 1710936 2281248 2566404 3421872 5132808 6843744 10265616 20531232