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270725 = 52721317
BaseRepresentation
bin1000010000110000101
3111202100212
41002012011
532130400
65445205
72205200
oct1020605
9452325
10270725
11175444
12110805
13962c0
1470937
1555335
hex42185

270725 has 36 divisors (see below), whose sum is σ = 445284. Its totient is φ = 161280.

The previous prime is 270719. The next prime is 270737. The reversal of 270725 is 527072.

270725 is a nontrivial binomial coefficient, being equal to C(52, 4).

It can be written as a sum of positive squares in 6 ways, for example, as 9604 + 261121 = 98^2 + 511^2 .

It is not a de Polignac number, because 270725 - 24 = 270709 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 270725.

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 270725.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15917 + ... + 15933.

It is an arithmetic number, because the mean of its divisors is an integer number (12369).

2270725 is an apocalyptic number.

270725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

270725 is the 425-th pentagonal number.

It is an amenable number.

270725 is a deficient number, since it is larger than the sum of its proper divisors (174559).

270725 is a wasteful number, since it uses less digits than its factorization.

270725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 270725 is about 520.3124061561. The cubic root of 270725 is about 64.6908395594.

Subtracting from 270725 its product of nonzero digits (980), we obtain a triangular number (269745 = T734).

Adding to 270725 its reverse (527072), we get a palindrome (797797).

The spelling of 270725 in words is "two hundred seventy thousand, seven hundred twenty-five".

Divisors: 1 5 7 13 17 25 35 49 65 85 91 119 175 221 245 325 425 455 595 637 833 1105 1225 1547 2275 2975 3185 4165 5525 7735 10829 15925 20825 38675 54145 270725