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266772 = 223114347
BaseRepresentation
bin1000001001000010100
3111112221110
41001020110
532014042
65415020
72160522
oct1011024
9445843
10266772
11172480
1210a470
139456c
146d312
155409c
hex41214

266772 has 48 divisors (see below), whose sum is σ = 709632. Its totient is φ = 77280.

The previous prime is 266767. The next prime is 266797. The reversal of 266772 is 277662.

266772 is nontrivially palindromic in base 16.

It is a congruent number.

It is an unprimeable number.

266772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5653 + ... + 5699.

It is an arithmetic number, because the mean of its divisors is an integer number (14784).

2266772 is an apocalyptic number.

266772 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a pronic number, being equal to 516×517.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354816).

266772 is an abundant number, since it is smaller than the sum of its proper divisors (442860).

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

266772 is a wasteful number, since it uses less digits than its factorization.

266772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 106 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 266772 is about 516.4997579864. The cubic root of 266772 is about 64.3744327094.

The spelling of 266772 in words is "two hundred sixty-six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 47 66 86 94 129 132 141 172 188 258 282 473 516 517 564 946 1034 1419 1551 1892 2021 2068 2838 3102 4042 5676 6063 6204 8084 12126 22231 24252 44462 66693 88924 133386 266772