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133874 = 21319271
BaseRepresentation
bin100000101011110010
320210122022
4200223302
513240444
62511442
71065206
oct405362
9223568
10133874
1191644
1265582
1348c20
1436b06
15299ee
hex20af2

133874 has 16 divisors (see below), whose sum is σ = 228480. Its totient is φ = 58320.

The previous prime is 133873. The next prime is 133877. The reversal of 133874 is 478331.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Curzon number.

It is a plaindrome in base 9 and base 15.

It is not an unprimeable number, because it can be changed into a prime (133873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 359 + ... + 629.

It is an arithmetic number, because the mean of its divisors is an integer number (14280).

2133874 is an apocalyptic number.

133874 is a deficient number, since it is larger than the sum of its proper divisors (94606).

133874 is a wasteful number, since it uses less digits than its factorization.

133874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305.

The product of its digits is 2016, while the sum is 26.

The square root of 133874 is about 365.8879609935. The cubic root of 133874 is about 51.1562553604.

The spelling of 133874 in words is "one hundred thirty-three thousand, eight hundred seventy-four".

Divisors: 1 2 13 19 26 38 247 271 494 542 3523 5149 7046 10298 66937 133874