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270712 = 231319137
BaseRepresentation
bin1000010000101111000
3111202100101
41002011320
532130322
65445144
72205151
oct1020570
9452311
10270712
11175432
121107b4
13962b0
1470928
1555327
hex42178

270712 has 32 divisors (see below), whose sum is σ = 579600. Its totient is φ = 117504.

The previous prime is 270709. The next prime is 270719. The reversal of 270712 is 217072.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 270712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1908 + ... + 2044.

2270712 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 270712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289800).

270712 is an abundant number, since it is smaller than the sum of its proper divisors (308888).

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

270712 is a wasteful number, since it uses less digits than its factorization.

270712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 270712 is about 520.2999135114. The cubic root of 270712 is about 64.6898040752.

Adding to 270712 its reverse (217072), we get a palindrome (487784).

The spelling of 270712 in words is "two hundred seventy thousand, seven hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 8 13 19 26 38 52 76 104 137 152 247 274 494 548 988 1096 1781 1976 2603 3562 5206 7124 10412 14248 20824 33839 67678 135356 270712