Search a number
-
+
268710 = 23513253
BaseRepresentation
bin1000001100110100110
3111122121020
41001212212
532044320
65432010
72166261
oct1014646
9448536
10268710
11173982
1210b606
1395400
146dcd8
1554940
hex419a6

268710 has 48 divisors (see below), whose sum is σ = 711504. Its totient is φ = 64896.

The previous prime is 268693. The next prime is 268721. The reversal of 268710 is 17862.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

268710 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 23 ways as a sum of consecutive naturals, for example, 5044 + ... + 5096.

It is an arithmetic number, because the mean of its divisors is an integer number (14823).

2268710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355752).

268710 is an abundant number, since it is smaller than the sum of its proper divisors (442794).

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

268710 is a wasteful number, since it uses less digits than its factorization.

268710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 268710 is about 518.3724529718. The cubic root of 268710 is about 64.5299422305.

The spelling of 268710 in words is "two hundred sixty-eight thousand, seven hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 53 65 78 106 130 159 169 195 265 318 338 390 507 530 689 795 845 1014 1378 1590 1690 2067 2535 3445 4134 5070 6890 8957 10335 17914 20670 26871 44785 53742 89570 134355 268710