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270768 = 2435641
BaseRepresentation
bin1000010000110110000
3111202102110
41002012300
532131033
65445320
72205261
oct1020660
9452373
10270768
11175483
12110840
1396324
1470968
1555363
hex421b0

270768 has 20 divisors (see below), whose sum is σ = 699608. Its totient is φ = 90240.

The previous prime is 270763. The next prime is 270791. The reversal of 270768 is 867072.

It is not an unprimeable number, because it can be changed into a prime (270761) by changing a digit.

270768 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, 2773 + ... + 2868.

2270768 is an apocalyptic number.

It is an amenable number.

270768 is an abundant number, since it is smaller than the sum of its proper divisors (428840).

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

270768 is a wasteful number, since it uses less digits than its factorization.

270768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5652 (or 5646 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 270768 is about 520.3537258443. The cubic root of 270768 is about 64.6942643863.

It can be divided in two parts, 2707 and 68, that added together give a triangular number (2775 = T74).

The spelling of 270768 in words is "two hundred seventy thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 5641 11282 16923 22564 33846 45128 67692 90256 135384 270768