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266742 = 23272973
BaseRepresentation
bin1000001000111110110
3111112220100
41001013312
532013432
65414530
72160450
oct1010766
9445810
10266742
11172453
1210a446
1394548
146d2d0
155407c
hex411f6

266742 has 48 divisors (see below), whose sum is σ = 692640. Its totient is φ = 72576.

The previous prime is 266719. The next prime is 266759. The reversal of 266742 is 247662.

It is an Ulam number.

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 266742.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3618 + ... + 3690.

It is an arithmetic number, because the mean of its divisors is an integer number (14430).

2266742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346320).

266742 is an abundant number, since it is smaller than the sum of its proper divisors (425898).

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

266742 is a wasteful number, since it uses less digits than its factorization.

266742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 114 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 266742 is about 516.4707155299. The cubic root of 266742 is about 64.3720195308.

The spelling of 266742 in words is "two hundred sixty-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 73 87 126 146 174 203 219 261 406 438 511 522 609 657 1022 1218 1314 1533 1827 2117 3066 3654 4234 4599 6351 9198 12702 14819 19053 29638 38106 44457 88914 133371 266742