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270272 = 2641103
BaseRepresentation
bin1000001111111000000
3111201202002
41001333000
532122042
65443132
72203652
oct1017700
9451662
10270272
11175072
121104a8
1396032
14706d2
1555132
hex41fc0

270272 has 28 divisors (see below), whose sum is σ = 554736. Its totient is φ = 130560.

The previous prime is 270271. The next prime is 270287. The reversal of 270272 is 272072.

270272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 270272.

It is not an unprimeable number, because it can be changed into a prime (270271) 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, 2573 + ... + 2675.

It is an arithmetic number, because the mean of its divisors is an integer number (19812).

2270272 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 270272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277368).

270272 is an abundant number, since it is smaller than the sum of its proper divisors (284464).

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

270272 is a wasteful number, since it uses less digits than its factorization.

270272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 270272 is about 519.8769085082. The cubic root of 270272 is about 64.6547373515.

The spelling of 270272 in words is "two hundred seventy thousand, two hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 4 8 16 32 41 64 82 103 164 206 328 412 656 824 1312 1648 2624 3296 4223 6592 8446 16892 33784 67568 135136 270272