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132544220 = 22531713011
BaseRepresentation
bin1111110011001…
…11011011011100
3100020101221111012
413321213123130
5232412403340
621052514352
73166415204
oct771473334
9306357435
10132544220
11688aa486
123847b9b8
13215c9843
1413863404
15b982565
hex7e676dc

132544220 has 48 divisors (see below), whose sum is σ = 291465216. Its totient is φ = 50568000.

The previous prime is 132544199. The next prime is 132544231. The reversal of 132544220 is 22445231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42515 + ... + 45525.

It is an arithmetic number, because the mean of its divisors is an integer number (6072192).

Almost surely, 2132544220 is an apocalyptic number.

132544220 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 132544220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145732608).

132544220 is an abundant number, since it is smaller than the sum of its proper divisors (158920996).

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

132544220 is a wasteful number, since it uses less digits than its factorization.

132544220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 132544220 is about 11512.7850670461. The cubic root of 132544220 is about 509.8631184617.

Adding to 132544220 its reverse (22445231), we get a palindrome (154989451).

The spelling of 132544220 in words is "one hundred thirty-two million, five hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 71 124 142 155 284 310 355 620 710 1420 2201 3011 4402 6022 8804 11005 12044 15055 22010 30110 44020 60220 93341 186682 213781 373364 427562 466705 855124 933410 1068905 1866820 2137810 4275620 6627211 13254422 26508844 33136055 66272110 132544220