Search a number
-
+
32520020 = 225131929227
BaseRepresentation
bin111110000001…
…1011101010100
32021012012002012
41330003131110
531311120040
63121003352
7543262361
oct174033524
967165065
1032520020
11173a1855
12aa83558
136978020
144467468
152cc5865
hex1f03754

32520020 has 96 divisors (see below), whose sum is σ = 80438400. Its totient is φ = 10934784.

The previous prime is 32520017. The next prime is 32520067. The reversal of 32520020 is 2002523.

It is a junction number, because it is equal to n+sod(n) for n = 32519977 and 32520004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143147 + ... + 143373.

It is an arithmetic number, because the mean of its divisors is an integer number (837900).

Almost surely, 232520020 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 32520020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40219200).

32520020 is an abundant number, since it is smaller than the sum of its proper divisors (47918380).

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

32520020 is a wasteful number, since it uses less digits than its factorization.

32520020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 32520020 is about 5702.6327253296. The cubic root of 32520020 is about 319.1907285368.

Adding to 32520020 its reverse (2002523), we get a palindrome (34522543).

The spelling of 32520020 in words is "thirty-two million, five hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 19 20 26 29 38 52 58 65 76 95 116 130 145 190 227 247 260 290 377 380 454 494 551 580 754 908 988 1102 1135 1235 1508 1885 2204 2270 2470 2755 2951 3770 4313 4540 4940 5510 5902 6583 7163 7540 8626 11020 11804 13166 14326 14755 17252 21565 26332 28652 29510 32915 35815 43130 56069 59020 65830 71630 85579 86260 112138 125077 131660 143260 171158 224276 250154 280345 342316 427895 500308 560690 625385 855790 1121380 1250770 1626001 1711580 2501540 3252002 6504004 8130005 16260010 32520020