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132532020 = 223254317123
BaseRepresentation
bin1111110011001…
…00011100110100
3100020101022202100
413321210130310
5232412011040
621052342100
73166334505
oct771443464
9306338670
10132532020
11688a12a5
1238474930
13215c411a
141385cbac
15b97db30
hex7e64734

132532020 has 72 divisors (see below), whose sum is σ = 411386976. Its totient is φ = 34517952.

The previous prime is 132532009. The next prime is 132532061. The reversal of 132532020 is 20235231.

132532020 is a `hidden beast` number, since 1 + 325 + 320 + 20 = 666.

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 = 132531984 and 132532002.

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, 822 + ... + 16301.

It is an arithmetic number, because the mean of its divisors is an integer number (5713708).

Almost surely, 2132532020 is an apocalyptic number.

132532020 is a gapful number since it is divisible by the number (10) 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 132532020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205693488).

132532020 is an abundant number, since it is smaller than the sum of its proper divisors (278854956).

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

132532020 is a wasteful number, since it uses less digits than its factorization.

132532020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17181 (or 17176 counting only the distinct ones).

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

The square root of 132532020 is about 11512.2552091239. The cubic root of 132532020 is about 509.8474745734.

Adding to 132532020 its reverse (20235231), we get a palindrome (152767251).

The spelling of 132532020 in words is "one hundred thirty-two million, five hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 17123 34246 51369 68492 85615 102738 154107 171230 205476 256845 308214 342460 513690 616428 736289 770535 1027380 1472578 1541070 2208867 2945156 3082140 3681445 4417734 6626601 7362890 8835468 11044335 13253202 14725780 22088670 26506404 33133005 44177340 66266010 132532020