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270976 = 272973
BaseRepresentation
bin1000010001010000000
3111202201011
41002022000
532132401
65450304
72206006
oct1021200
9452634
10270976
11175652
12110994
1396454
1470a76
1555451
hex42280

270976 has 32 divisors (see below), whose sum is σ = 566100. Its totient is φ = 129024.

The previous prime is 270973. The next prime is 271003. The reversal of 270976 is 679072.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 270400 + 576 = 520^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-4 number, since 4×2709764 (a number of 23 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (270973) 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, 3676 + ... + 3748.

2270976 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 270976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283050).

270976 is an abundant number, since it is smaller than the sum of its proper divisors (295124).

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

270976 is an equidigital number, since it uses as much as digits as its factorization.

270976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 270976 is about 520.5535515199. The cubic root of 270976 is about 64.7108258741.

The spelling of 270976 in words is "two hundred seventy thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 64 73 116 128 146 232 292 464 584 928 1168 1856 2117 2336 3712 4234 4672 8468 9344 16936 33872 67744 135488 270976