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133393 = 1331331
BaseRepresentation
bin100000100100010001
320202222111
4200210101
513232033
62505321
71063621
oct404421
9222874
10133393
1191247
1265241
1348940
1436881
15297cd
hex20911

133393 has 8 divisors (see below), whose sum is σ = 148736. Its totient is φ = 118800.

The previous prime is 133391. The next prime is 133403. The reversal of 133393 is 393331.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 133393 - 21 = 133391 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238 + ... + 568.

It is an arithmetic number, because the mean of its divisors is an integer number (18592).

2133393 is an apocalyptic number.

133393 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133393 is a deficient number, since it is larger than the sum of its proper divisors (15343).

133393 is a wasteful number, since it uses less digits than its factorization.

133393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375.

The product of its digits is 729, while the sum is 22.

The square root of 133393 is about 365.2300644799. The cubic root of 133393 is about 51.0949148780.

The spelling of 133393 in words is "one hundred thirty-three thousand, three hundred ninety-three".

Divisors: 1 13 31 331 403 4303 10261 133393