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133427 = 73389
BaseRepresentation
bin100000100100110011
320210000202
4200210303
513232202
62505415
71064000
oct404463
9223022
10133427
1191278
126526b
1348968
14368a7
1529802
hex20933

133427 has 8 divisors (see below), whose sum is σ = 156000. Its totient is φ = 114072.

The previous prime is 133417. The next prime is 133439. The reversal of 133427 is 724331.

It is not a de Polignac number, because 133427 - 210 = 132403 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133399 and 133408.

It is not an unprimeable number, because it can be changed into a prime (133417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149 + ... + 537.

It is an arithmetic number, because the mean of its divisors is an integer number (19500).

2133427 is an apocalyptic number.

133427 is a deficient number, since it is larger than the sum of its proper divisors (22573).

133427 is an frugal number, since it uses more digits than its factorization.

133427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 396 counting only the distinct ones).

The product of its digits is 504, while the sum is 20.

The square root of 133427 is about 365.2766075182. The cubic root of 133427 is about 51.0992556344.

Adding to 133427 its reverse (724331), we get a palindrome (857758).

It can be divided in two parts, 13 and 3427, that multiplied together give a triangular number (44551 = T298).

The spelling of 133427 in words is "one hundred thirty-three thousand, four hundred twenty-seven".

Divisors: 1 7 49 343 389 2723 19061 133427