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135730 = 2572277
BaseRepresentation
bin100001001000110010
320220012001
4201020302
513320410
62524214
71103500
oct411062
9226161
10135730
1192a81
126666a
1349a1a
1437670
152a33a
hex21232

135730 has 24 divisors (see below), whose sum is σ = 285228. Its totient is φ = 46368.

The previous prime is 135727. The next prime is 135731. The reversal of 135730 is 37531.

135730 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 127449 + 8281 = 357^2 + 91^2 .

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 135698 and 135707.

It is not an unprimeable number, because it can be changed into a prime (135731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352 + ... + 628.

2135730 is an apocalyptic number.

135730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135730 is an abundant number, since it is smaller than the sum of its proper divisors (149498).

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

135730 is a wasteful number, since it uses less digits than its factorization.

135730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 19.

The square root of 135730 is about 368.4155262743. The cubic root of 135730 is about 51.3915775992.

The spelling of 135730 in words is "one hundred thirty-five thousand, seven hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 277 490 554 1385 1939 2770 3878 9695 13573 19390 27146 67865 135730