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132524028 = 223272135779
BaseRepresentation
bin1111110011000…
…10011111111100
3100020100220210100
413321202133330
5232411232103
621052241100
73166302300
oct771423774
9306326710
10132524028
116889629a
1238470190
13215c05b0
1413859d00
15b97b5a3
hex7e627fc

132524028 has 108 divisors (see below), whose sum is σ = 419732040. Its totient is φ = 34945344.

The previous prime is 132524017. The next prime is 132524087. The reversal of 132524028 is 820425231.

132524028 is a `hidden beast` number, since 1 + 3 + 252 + 402 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132523992 and 132524010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20043 + ... + 25821.

Almost surely, 2132524028 is an apocalyptic number.

132524028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132524028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209866020).

132524028 is an abundant number, since it is smaller than the sum of its proper divisors (287208012).

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

132524028 is a wasteful number, since it uses less digits than its factorization.

132524028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5816 (or 5804 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 132524028 is about 11511.9080955331. The cubic root of 132524028 is about 509.8372260238.

Adding to 132524028 its reverse (820425231), we get a palindrome (952949259).

The spelling of 132524028 in words is "one hundred thirty-two million, five hundred twenty-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2548 3276 3822 5733 5779 7644 11466 11558 17337 22932 23116 34674 40453 52011 69348 75127 80906 104022 121359 150254 161812 208044 225381 242718 283171 300508 364077 450762 485436 525889 566342 676143 728154 849513 901524 1051778 1132684 1352286 1456308 1577667 1699026 2103556 2548539 2704572 3155334 3398052 3681223 4733001 5097078 6310668 7362446 9466002 10194156 11043669 14724892 18932004 22087338 33131007 44174676 66262014 132524028