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132145360 = 2453494733
BaseRepresentation
bin1111110000001…
…10000011010000
3100012122200100121
413320012003100
5232312122420
621040200024
73163134304
oct770060320
9305580317
10132145360
1168657846
1238309014
13214ba129
141379bd04
15b9042aa
hex7e060d0

132145360 has 40 divisors (see below), whose sum is σ = 308183400. Its totient is φ = 52695552.

The previous prime is 132145357. The next prime is 132145393. The reversal of 132145360 is 63541231.

It can be written as a sum of positive squares in 4 ways, for example, as 9290304 + 122855056 = 3048^2 + 11084^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25554 + ... + 30286.

It is an arithmetic number, because the mean of its divisors is an integer number (7704585).

Almost surely, 2132145360 is an apocalyptic number.

132145360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132145360 is an abundant number, since it is smaller than the sum of its proper divisors (176038040).

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

132145360 is a wasteful number, since it uses less digits than its factorization.

132145360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5095 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 132145360 is about 11495.4495344897. The cubic root of 132145360 is about 509.3511677158.

Adding to 132145360 its reverse (63541231), we get a palindrome (195686591).

The spelling of 132145360 in words is "one hundred thirty-two million, one hundred forty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 349 698 1396 1745 2792 3490 4733 5584 6980 9466 13960 18932 23665 27920 37864 47330 75728 94660 189320 378640 1651817 3303634 6607268 8259085 13214536 16518170 26429072 33036340 66072680 132145360