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133432332 = 223111676053
BaseRepresentation
bin1111111010000…
…00010000001100
3100022002001202020
413331000100030
5233124313312
621123530140
73210104355
oct775002014
9308061666
10133432332
1169356760
1238829950
132184ab57
1413a14d2c
15baaa78c
hex7f4040c

133432332 has 48 divisors (see below), whose sum is σ = 341736192. Its totient is φ = 40185280.

The previous prime is 133432291. The next prime is 133432333. The reversal of 133432332 is 233234331.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (133432333) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19018 + ... + 25070.

It is an arithmetic number, because the mean of its divisors is an integer number (7119504).

Almost surely, 2133432332 is an apocalyptic number.

133432332 is a gapful number since it is divisible by the number (12) 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 133432332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170868096).

133432332 is an abundant number, since it is smaller than the sum of its proper divisors (208303860).

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

133432332 is a wasteful number, since it uses less digits than its factorization.

133432332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6238 (or 6236 counting only the distinct ones).

The product of its digits is 3888, while the sum is 24.

The square root of 133432332 is about 11551.2913563809. The cubic root of 133432332 is about 510.9993630021. Note that the first 3 decimals are identical.

Adding to 133432332 its reverse (233234331), we get a palindrome (366666663).

The spelling of 133432332 in words is "one hundred thirty-three million, four hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 167 334 501 668 1002 1837 2004 3674 5511 6053 7348 11022 12106 18159 22044 24212 36318 66583 72636 133166 199749 266332 399498 798996 1010851 2021702 3032553 4043404 6065106 11119361 12130212 22238722 33358083 44477444 66716166 133432332