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270450 = 23252601
BaseRepresentation
bin1000010000001110010
3111201222200
41002001302
532123300
65444030
72204325
oct1020162
9451880
10270450
11175214
12110616
139613b
14707bc
1555200
hex42072

270450 has 36 divisors (see below), whose sum is σ = 727818. Its totient is φ = 72000.

The previous prime is 270443. The next prime is 270451. The reversal of 270450 is 54072.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 239121 + 31329 = 489^2 + 177^2 .

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

It is a Curzon number.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 270450.

It is not an unprimeable number, because it can be changed into a prime (270451) by changing a digit.

270450 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 17 ways as a sum of consecutive naturals, for example, 150 + ... + 750.

2270450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363909).

270450 is an abundant number, since it is smaller than the sum of its proper divisors (457368).

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

270450 is a wasteful number, since it uses less digits than its factorization.

270450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 270450 is about 520.0480747008. The cubic root of 270450 is about 64.6689280158.

The spelling of 270450 in words is "two hundred seventy thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 601 1202 1803 3005 3606 5409 6010 9015 10818 15025 18030 27045 30050 45075 54090 90150 135225 270450