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270080 = 285211
BaseRepresentation
bin1000001111100000000
3111201110222
41001330000
532120310
65442212
72203256
oct1017400
9451428
10270080
11174a08
12110368
1395c15
14705d6
1555055
hex41f00

270080 has 36 divisors (see below), whose sum is σ = 649992. Its totient is φ = 107520.

The previous prime is 270073. The next prime is 270097. The reversal of 270080 is 80072.

270080 is nontrivially palindromic in base 15.

It is a congruent number.

It is an unprimeable number.

270080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1175 + ... + 1385.

2270080 is an apocalyptic number.

270080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324996).

270080 is an abundant number, since it is smaller than the sum of its proper divisors (379912).

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

270080 is an equidigital number, since it uses as much as digits as its factorization.

270080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 270080 is about 519.6922166052. The cubic root of 270080 is about 64.6394235808.

It can be divided in two parts, 2700 and 80, that multiplied together give a cube (216000 = 603).

The spelling of 270080 in words is "two hundred seventy thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 211 256 320 422 640 844 1055 1280 1688 2110 3376 4220 6752 8440 13504 16880 27008 33760 54016 67520 135040 270080