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133606120 = 2353340153
BaseRepresentation
bin1111111011010…
…10101011101000
3100022101220010211
413331222223220
5233200343440
621131350504
73211430134
oct775525350
9308356124
10133606120
116946528a
12388b2434
13218abc9b
1413a5c3c4
15bae1eea
hex7f6aae8

133606120 has 16 divisors (see below), whose sum is σ = 300613860. Its totient is φ = 53442432.

The previous prime is 133606079. The next prime is 133606127. The reversal of 133606120 is 21606331.

It can be written as a sum of positive squares in 2 ways, for example, as 129549924 + 4056196 = 11382^2 + 2014^2 .

It is a super-3 number, since 3×1336061203 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133606091 and 133606100.

It is not an unprimeable number, because it can be changed into a prime (133606127) 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 3 ways as a sum of consecutive naturals, for example, 1670037 + ... + 1670116.

Almost surely, 2133606120 is an apocalyptic number.

133606120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133606120 is an abundant number, since it is smaller than the sum of its proper divisors (167007740).

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

133606120 is a wasteful number, since it uses less digits than its factorization.

133606120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340164 (or 3340160 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 133606120 is about 11558.8113575748. The cubic root of 133606120 is about 511.2211159288.

The spelling of 133606120 in words is "one hundred thirty-three million, six hundred six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3340153 6680306 13360612 16700765 26721224 33401530 66803060 133606120