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135742 = 2671013
BaseRepresentation
bin100001001000111110
320220012111
4201020332
513320432
62524234
71103515
oct411076
9226174
10135742
1192a92
126667a
1349a29
143767c
152a347
hex2123e

135742 has 8 divisors (see below), whose sum is σ = 206856. Its totient is φ = 66792.

The previous prime is 135731. The next prime is 135743. The reversal of 135742 is 247531.

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

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135743) by changing a digit.

135742 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 373 + ... + 640.

It is an arithmetic number, because the mean of its divisors is an integer number (25857).

2135742 is an apocalyptic number.

135742 is a deficient number, since it is larger than the sum of its proper divisors (71114).

135742 is a wasteful number, since it uses less digits than its factorization.

135742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082.

The product of its digits is 840, while the sum is 22.

The square root of 135742 is about 368.4318118730. The cubic root of 135742 is about 51.3930920784.

The spelling of 135742 in words is "one hundred thirty-five thousand, seven hundred forty-two".

Divisors: 1 2 67 134 1013 2026 67871 135742