Search a number
-
+
132542060 = 225731392
BaseRepresentation
bin1111110011001…
…10111001101100
3100020101211112012
413321212321230
5232412321220
621052500352
73166406000
oct771467154
9306354465
10132542060
11688a88a2
123847a6b8
13215c8871
1413862700
15b981ac5
hex7e66e6c

132542060 has 72 divisors (see below), whose sum is σ = 326944800. Its totient is φ = 45116064.

The previous prime is 132542051. The next prime is 132542063. The reversal of 132542060 is 60245231.

It is not an unprimeable number, because it can be changed into a prime (132542063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 953471 + ... + 953609.

It is an arithmetic number, because the mean of its divisors is an integer number (4540900).

Almost surely, 2132542060 is an apocalyptic number.

132542060 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 132542060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163472400).

132542060 is an abundant number, since it is smaller than the sum of its proper divisors (194402740).

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

132542060 is an equidigital number, since it uses as much as digits as its factorization.

132542060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 132542060 is about 11512.6912579119. The cubic root of 132542060 is about 509.8603487940.

Adding to 132542060 its reverse (60245231), we get a palindrome (192787291).

The spelling of 132542060 in words is "one hundred thirty-two million, five hundred forty-two thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 139 140 196 245 278 343 490 556 686 695 973 980 1372 1390 1715 1946 2780 3430 3892 4865 6811 6860 9730 13622 19321 19460 27244 34055 38642 47677 68110 77284 95354 96605 135247 136220 190708 193210 238385 270494 386420 476770 540988 676235 946729 953540 1352470 1893458 2704940 3786916 4733645 6627103 9467290 13254206 18934580 26508412 33135515 66271030 132542060