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266916 = 223132959
BaseRepresentation
bin1000001001010100100
3111120010210
41001022210
532020131
65415420
72161116
oct1011244
9446123
10266916
111725a1
1210a570
1394650
146d3b6
1554146
hex412a4

266916 has 48 divisors (see below), whose sum is σ = 705600. Its totient is φ = 77952.

The previous prime is 266909. The next prime is 266921. The reversal of 266916 is 619662.

266916 = T1 + T2 + ... + T116.

266916 is a nontrivial binomial coefficient, being equal to C(118, 3).

Its product of digits (3888) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is an unprimeable number.

266916 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is the 116-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4495 + ... + 4553.

It is an arithmetic number, because the mean of its divisors is an integer number (14700).

2266916 is an apocalyptic number.

266916 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352800).

266916 is an abundant number, since it is smaller than the sum of its proper divisors (438684).

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

266916 is a wasteful number, since it uses less digits than its factorization.

266916 is an evil number, because the sum of its binary digits is even.

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

The product of its digits is 3888, while the sum is 30.

The square root of 266916 is about 516.6391390516. The cubic root of 266916 is about 64.3860134486.

The spelling of 266916 in words is "two hundred sixty-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 59 78 87 116 118 156 174 177 236 348 354 377 708 754 767 1131 1508 1534 1711 2262 2301 3068 3422 4524 4602 5133 6844 9204 10266 20532 22243 44486 66729 88972 133458 266916