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276066 = 23272313
BaseRepresentation
bin1000011011001100010
3112000200200
41003121202
532313231
65530030
72226600
oct1033142
9460620
10276066
1117945a
12113916
139886b
1472870
1556be6
hex43662

276066 has 36 divisors (see below), whose sum is σ = 698022. Its totient is φ = 78624.

The previous prime is 276049. The next prime is 276079. The reversal of 276066 is 660672.

It can be written as a sum of positive squares in only one way, i.e., 275625 + 441 = 525^2 + 21^2 .

It is a zygodrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 276066.

It is an unprimeable number.

276066 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 17 ways as a sum of consecutive naturals, for example, 726 + ... + 1038.

2276066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 276066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349011).

276066 is an abundant number, since it is smaller than the sum of its proper divisors (421956).

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

276066 is a wasteful number, since it uses less digits than its factorization.

276066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 276066 is about 525.4198321343. The cubic root of 276066 is about 65.1134900937.

The spelling of 276066 in words is "two hundred seventy-six thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 313 441 626 882 939 1878 2191 2817 4382 5634 6573 13146 15337 19719 30674 39438 46011 92022 138033 276066