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268756 = 2267189
BaseRepresentation
bin1000001100111010100
3111122122221
41001213110
532100011
65432124
72166355
oct1014724
9448587
10268756
11173a14
1210b644
1395437
146dd2c
1554971
hex419d4

268756 has 6 divisors (see below), whose sum is σ = 470330. Its totient is φ = 134376.

The previous prime is 268747. The next prime is 268757. The reversal of 268756 is 657862.

It can be written as a sum of positive squares in only one way, i.e., 266256 + 2500 = 516^2 + 50^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268757) by changing a digit.

268756 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 as a sum of consecutive naturals, namely, 33591 + ... + 33598.

268756 is a Friedman number, since it can be written as 6+86*5^(7-2), using all its digits and the basic arithmetic operations.

2268756 is an apocalyptic number.

It is an amenable number.

268756 is a deficient number, since it is larger than the sum of its proper divisors (201574).

268756 is a wasteful number, since it uses less digits than its factorization.

268756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67193 (or 67191 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 268756 is about 518.4168207148. The cubic root of 268756 is about 64.5336242768.

It can be divided in two parts, 268 and 756, that added together give a 10-th power (1024 = 210).

The spelling of 268756 in words is "two hundred sixty-eight thousand, seven hundred fifty-six".

Divisors: 1 2 4 67189 134378 268756