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133042 = 27131743
BaseRepresentation
bin100000011110110010
320202111111
4200132302
513224132
62503534
71062610
oct403662
9222444
10133042
1190a58
1264baa
1348730
14366b0
1529647
hex207b2

133042 has 32 divisors (see below), whose sum is σ = 266112. Its totient is φ = 48384.

The previous prime is 133039. The next prime is 133051. The reversal of 133042 is 240331.

133042 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3073 + ... + 3115.

It is an arithmetic number, because the mean of its divisors is an integer number (8316).

2133042 is an apocalyptic number.

133042 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

133042 is a wasteful number, since it uses less digits than its factorization.

133042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82.

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 133042 is about 364.7492289231. The cubic root of 133042 is about 51.0500597795.

Adding to 133042 its reverse (240331), we get a palindrome (373373).

The spelling of 133042 in words is "one hundred thirty-three thousand, forty-two".

Divisors: 1 2 7 13 14 17 26 34 43 86 91 119 182 221 238 301 442 559 602 731 1118 1462 1547 3094 3913 5117 7826 9503 10234 19006 66521 133042