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170144 = 2513409
BaseRepresentation
bin101001100010100000
322122101122
4221202200
520421034
63351412
71306022
oct514240
9278348
10170144
11106917
1282568
135c5a0
1446012
153562e
hex298a0

170144 has 24 divisors (see below), whose sum is σ = 361620. Its totient is φ = 78336.

The previous prime is 170141. The next prime is 170167. The reversal of 170144 is 441071.

It can be written as a sum of positive squares in 2 ways, for example, as 169744 + 400 = 412^2 + 20^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 170144.

It is not an unprimeable number, because it can be changed into a prime (170141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212 + ... + 620.

2170144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 170144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180810).

170144 is an abundant number, since it is smaller than the sum of its proper divisors (191476).

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

170144 is a wasteful number, since it uses less digits than its factorization.

170144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 170144 is about 412.4851512479. The cubic root of 170144 is about 55.4122195412.

The spelling of 170144 in words is "one hundred seventy thousand, one hundred forty-four", and thus it is an iban number.

Divisors: 1 2 4 8 13 16 26 32 52 104 208 409 416 818 1636 3272 5317 6544 10634 13088 21268 42536 85072 170144