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132521220 = 223251356633
BaseRepresentation
bin1111110011000…
…01110100000100
3100020100202221100
413321201310010
5232411134340
621052220100
73166261146
oct771416404
9306322840
10132521220
1168894177
123846a630
13215bc230
1413858c96
15b97a830
hex7e61d04

132521220 has 72 divisors (see below), whose sum is σ = 432910296. Its totient is φ = 32620032.

The previous prime is 132521201. The next prime is 132521231. The reversal of 132521220 is 22125231.

It can be written as a sum of positive squares in 4 ways, for example, as 11168964 + 121352256 = 3342^2 + 11016^2 .

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 = 132521193 and 132521202.

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 23 ways as a sum of consecutive naturals, for example, 25977 + ... + 30656.

It is an arithmetic number, because the mean of its divisors is an integer number (6012643).

Almost surely, 2132521220 is an apocalyptic number.

132521220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132521220 is an abundant number, since it is smaller than the sum of its proper divisors (300389076).

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

132521220 is a wasteful number, since it uses less digits than its factorization.

132521220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56661 (or 56656 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 132521220 is about 11511.7861342191. The cubic root of 132521220 is about 509.8336250843.

Adding to 132521220 its reverse (22125231), we get a palindrome (154646451).

The spelling of 132521220 in words is "one hundred thirty-two million, five hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 56633 113266 169899 226532 283165 339798 509697 566330 679596 736229 849495 1019394 1132660 1472458 1698990 2038788 2208687 2548485 2944916 3397980 3681145 4417374 5096970 6626061 7362290 8834748 10193940 11043435 13252122 14724580 22086870 26504244 33130305 44173740 66260610 132521220