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270240 = 2535563
BaseRepresentation
bin1000001111110100000
3111201200220
41001332200
532121430
65443040
72203605
oct1017640
9451626
10270240
11175043
12110480
1396009
14706ac
1555110
hex41fa0

270240 has 48 divisors (see below), whose sum is σ = 852768. Its totient is φ = 71936.

The previous prime is 270239. The next prime is 270241. The reversal of 270240 is 42072.

270240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (270239) and next prime (270241).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (270241) 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, 199 + ... + 761.

It is an arithmetic number, because the mean of its divisors is an integer number (17766).

2270240 is an apocalyptic number.

270240 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 270240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426384).

270240 is an abundant number, since it is smaller than the sum of its proper divisors (582528).

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

270240 is a wasteful number, since it uses less digits than its factorization.

270240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 270240 is about 519.8461310811. The cubic root of 270240 is about 64.6521855601.

The spelling of 270240 in words is "two hundred seventy thousand, two hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 563 1126 1689 2252 2815 3378 4504 5630 6756 8445 9008 11260 13512 16890 18016 22520 27024 33780 45040 54048 67560 90080 135120 270240