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132333066 = 23217716091
BaseRepresentation
bin1111110001100…
…11111000001010
3100020000012211200
413320303320022
5232334124231
621044205030
73164545455
oct770637012
9306005750
10132333066
1168775878
1238399776
13215546b8
141380a49c
15b93ebe6
hex7e33e0a

132333066 has 48 divisors (see below), whose sum is σ = 307914048. Its totient is φ = 40924800.

The previous prime is 132333041. The next prime is 132333067. The reversal of 132333066 is 660333231.

132333066 is a `hidden beast` number, since 1 + 323 + 330 + 6 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (132333067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18681 + ... + 24771.

It is an arithmetic number, because the mean of its divisors is an integer number (6414876).

Almost surely, 2132333066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132333066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153957024).

132333066 is an abundant number, since it is smaller than the sum of its proper divisors (175580982).

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

132333066 is a wasteful number, since it uses less digits than its factorization.

132333066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6187 (or 6184 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 132333066 is about 11503.6109982909. The cubic root of 132333066 is about 509.5922230633.

Adding to 132333066 its reverse (660333231), we get a palindrome (792666297).

The spelling of 132333066 in words is "one hundred thirty-two million, three hundred thirty-three thousand, sixty-six".

Divisors: 1 2 3 6 9 17 18 34 51 71 102 142 153 213 306 426 639 1207 1278 2414 3621 6091 7242 10863 12182 18273 21726 36546 54819 103547 109638 207094 310641 432461 621282 864922 931923 1297383 1863846 2594766 3892149 7351837 7784298 14703674 22055511 44111022 66166533 132333066