Search a number
-
+
135020 = 22543157
BaseRepresentation
bin100000111101101100
320212012202
4200331230
513310040
62521032
71101434
oct407554
9225182
10135020
1192496
1266178
13495c2
14372c4
152a015
hex20f6c

135020 has 24 divisors (see below), whose sum is σ = 291984. Its totient is φ = 52416.

The previous prime is 135019. The next prime is 135029. The reversal of 135020 is 20531.

135020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 134992 and 135010.

It is not an unprimeable number, because it can be changed into a prime (135029) 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, 782 + ... + 938.

It is an arithmetic number, because the mean of its divisors is an integer number (12166).

2135020 is an apocalyptic number.

135020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145992).

135020 is an abundant number, since it is smaller than the sum of its proper divisors (156964).

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

135020 is a wasteful number, since it uses less digits than its factorization.

135020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 135020 is about 367.4506769622. The cubic root of 135020 is about 51.3018115729.

Adding to 135020 its reverse (20531), we get a palindrome (155551).

It can be divided in two parts, 1350 and 20, that multiplied together give a cube (27000 = 303).

The spelling of 135020 in words is "one hundred thirty-five thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 157 172 215 314 430 628 785 860 1570 3140 6751 13502 27004 33755 67510 135020