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270436 = 22174197
BaseRepresentation
bin1000010000001100100
3111201222011
41002001210
532123221
65444004
72204305
oct1020144
9451864
10270436
11175201
12110604
139612a
14707ac
15551e1
hex42064

270436 has 24 divisors (see below), whose sum is σ = 518616. Its totient is φ = 122880.

The previous prime is 270421. The next prime is 270437. The reversal of 270436 is 634072.

270436 = T53 + T54 + ... + T120.

It can be written as a sum of positive squares in 4 ways, for example, as 14400 + 256036 = 120^2 + 506^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270437) by changing a digit.

270436 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2740 + ... + 2836.

It is an arithmetic number, because the mean of its divisors is an integer number (21609).

2270436 is an apocalyptic number.

It is an amenable number.

270436 is a deficient number, since it is larger than the sum of its proper divisors (248180).

270436 is a wasteful number, since it uses less digits than its factorization.

270436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 270436 is about 520.0346142326. The cubic root of 270436 is about 64.6678121217.

It can be divided in two parts, 2704 and 36, that multiplied together give a square (97344 = 3122).

The spelling of 270436 in words is "two hundred seventy thousand, four hundred thirty-six".

Divisors: 1 2 4 17 34 41 68 82 97 164 194 388 697 1394 1649 2788 3298 3977 6596 7954 15908 67609 135218 270436