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270120 = 23352251
BaseRepresentation
bin1000001111100101000
3111201112110
41001330220
532120440
65442320
72203344
oct1017450
9451473
10270120
11174a44
121103a0
1395c46
1470624
1555080
hex41f28

270120 has 32 divisors (see below), whose sum is σ = 810720. Its totient is φ = 72000.

The previous prime is 270097. The next prime is 270121. The reversal of 270120 is 21072.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 270096 and 270105.

It is not an unprimeable number, because it can be changed into a prime (270121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1006 + ... + 1245.

It is an arithmetic number, because the mean of its divisors is an integer number (25335).

2270120 is an apocalyptic number.

270120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

270120 is an abundant number, since it is smaller than the sum of its proper divisors (540600).

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

270120 is a wasteful number, since it uses less digits than its factorization.

270120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 270120 is about 519.7306994973. The cubic root of 270120 is about 64.6426145480.

Adding to 270120 its reverse (21072), we get a palindrome (291192).

It can be divided in two parts, 270 and 120, that multiplied together give a square (32400 = 1802).

The spelling of 270120 in words is "two hundred seventy thousand, one hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2251 4502 6753 9004 11255 13506 18008 22510 27012 33765 45020 54024 67530 90040 135060 270120