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136170 = 23251789
BaseRepresentation
bin100001001111101010
320220210100
4201033222
513324140
62530230
71104666
oct411752
9226710
10136170
1193341
1266976
1349c98
14378a6
152a530
hex213ea

136170 has 48 divisors (see below), whose sum is σ = 379080. Its totient is φ = 33792.

The previous prime is 136163. The next prime is 136177. The reversal of 136170 is 71631.

136170 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (136163) and next prime (136177).

It can be written as a sum of positive squares in 4 ways, for example, as 106929 + 29241 = 327^2 + 171^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (136177) by changing a digit.

136170 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 23 ways as a sum of consecutive naturals, for example, 1486 + ... + 1574.

2136170 is an apocalyptic number.

136170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189540).

136170 is an abundant number, since it is smaller than the sum of its proper divisors (242910).

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

136170 is a wasteful number, since it uses less digits than its factorization.

136170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 136170 is about 369.0121949204. The cubic root of 136170 is about 51.4470502379.

It can be divided in two parts, 1361 and 70, that added together give a triangular number (1431 = T53).

The spelling of 136170 in words is "one hundred thirty-six thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 89 90 102 153 170 178 255 267 306 445 510 534 765 801 890 1335 1513 1530 1602 2670 3026 4005 4539 7565 8010 9078 13617 15130 22695 27234 45390 68085 136170