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270848 = 29232
BaseRepresentation
bin1000010001000000000
3111202112102
41002020000
532131343
65445532
72205434
oct1021000
9452472
10270848
11175546
121108a8
1396386
14709c4
15553b8
hex42200

270848 has 30 divisors (see below), whose sum is σ = 565719. Its totient is φ = 129536.

The previous prime is 270841. The next prime is 270859. The reversal of 270848 is 848072.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 135424 + 135424 = 368^2 + 368^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=368.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 270848.

It is not an unprimeable number, because it can be changed into a prime (270841) by changing a digit.

270848 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 (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 11765 + ... + 11787.

2270848 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 270848

270848 is an abundant number, since it is smaller than the sum of its proper divisors (294871).

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

270848 is an frugal number, since it uses more digits than its factorization.

270848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 270848 is about 520.4305909533. The cubic root of 270848 is about 64.7006351927.

The spelling of 270848 in words is "two hundred seventy thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 529 736 1058 1472 2116 2944 4232 5888 8464 11776 16928 33856 67712 135424 270848