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276276 = 2237111323
BaseRepresentation
bin1000011011100110100
3112000222110
41003130310
532320101
65531020
72230320
oct1033464
9460873
10276276
11179630
12113a70
13989a0
1472980
1556cd6
hex43734

276276 has 96 divisors (see below), whose sum is σ = 903168. Its totient is φ = 63360.

The previous prime is 276257. The next prime is 276277. The reversal of 276276 is 672672.

276276 is nontrivially palindromic in base 16.

276276 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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 276276.

It is not an unprimeable number, because it can be changed into a prime (276277) by changing a digit.

276276 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 31 ways as a sum of consecutive naturals, for example, 12001 + ... + 12023.

It is an arithmetic number, because the mean of its divisors is an integer number (9408).

2276276 is an apocalyptic number.

276276 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 276276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451584).

276276 is an abundant number, since it is smaller than the sum of its proper divisors (626892).

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

276276 is a wasteful number, since it uses less digits than its factorization.

276276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 59 counting only the distinct ones).

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

The square root of 276276 is about 525.6196343365. The cubic root of 276276 is about 65.1299962519.

The spelling of 276276 in words is "two hundred seventy-six thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 23 26 28 33 39 42 44 46 52 66 69 77 78 84 91 92 132 138 143 154 156 161 182 231 253 273 276 286 299 308 322 364 429 462 483 506 546 572 598 644 759 858 897 924 966 1001 1012 1092 1196 1518 1716 1771 1794 1932 2002 2093 3003 3036 3289 3542 3588 4004 4186 5313 6006 6279 6578 7084 8372 9867 10626 12012 12558 13156 19734 21252 23023 25116 39468 46046 69069 92092 138138 276276