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132642081 = 321113234481
BaseRepresentation
bin1111110011111…
…11010100100001
3100020120220201200
413321333110201
5232424021311
621054551413
73200303415
oct771772441
9306526650
10132642081
1168966a60
1238508569
1321632250
141388ad45
15b9a1556
hex7e7f521

132642081 has 48 divisors (see below), whose sum is σ = 234928512. Its totient is φ = 70963200.

The previous prime is 132642079. The next prime is 132642091. The reversal of 132642081 is 180246231.

132642081 is a `hidden beast` number, since 13 + 2 + 642 + 0 + 8 + 1 = 666.

It is not a de Polignac number, because 132642081 - 21 = 132642079 is a prime.

It is a super-2 number, since 2×1326420812 = 35187843304021122, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132642031) 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 47 ways as a sum of consecutive naturals, for example, 27361 + ... + 31841.

It is an arithmetic number, because the mean of its divisors is an integer number (4894344).

Almost surely, 2132642081 is an apocalyptic number.

132642081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132642081 is a deficient number, since it is larger than the sum of its proper divisors (102286431).

132642081 is a wasteful number, since it uses less digits than its factorization.

132642081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4534 (or 4531 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 132642081 is about 11517.0343839028. The cubic root of 132642081 is about 509.9885695247.

The spelling of 132642081 in words is "one hundred thirty-two million, six hundred forty-two thousand, eighty-one".

Divisors: 1 3 9 11 13 23 33 39 69 99 117 143 207 253 299 429 759 897 1287 2277 2691 3289 4481 9867 13443 29601 40329 49291 58253 103063 147873 174759 309189 443619 524277 640783 927567 1133693 1339819 1922349 3401079 4019457 5767047 10203237 12058371 14738009 44214027 132642081