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270320 = 24531109
BaseRepresentation
bin1000001111111110000
3111201210212
41001333300
532122240
65443252
72204051
oct1017760
9451725
10270320
11175106
12110528
139606b
1470728
1555165
hex41ff0

270320 has 40 divisors (see below), whose sum is σ = 654720. Its totient is φ = 103680.

The previous prime is 270311. The next prime is 270323. The reversal of 270320 is 23072.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 270295 and 270304.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 270320.

It is not an unprimeable number, because it can be changed into a prime (270323) 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, 2426 + ... + 2534.

It is an arithmetic number, because the mean of its divisors is an integer number (16368).

2270320 is an apocalyptic number.

270320 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 270320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327360).

270320 is an abundant number, since it is smaller than the sum of its proper divisors (384400).

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

270320 is a wasteful number, since it uses less digits than its factorization.

270320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 270320 is about 519.9230712327. The cubic root of 270320 is about 64.6585646608.

Adding to 270320 its reverse (23072), we get a palindrome (293392).

The spelling of 270320 in words is "two hundred seventy thousand, three hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 109 124 155 218 248 310 436 496 545 620 872 1090 1240 1744 2180 2480 3379 4360 6758 8720 13516 16895 27032 33790 54064 67580 135160 270320