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276864 = 2737103
BaseRepresentation
bin1000011100110000000
3112001210020
41003212000
532324424
65533440
72232120
oct1034600
9461706
10276864
1117a015
12114280
1399033
1472c80
1557079
hex43980

276864 has 64 divisors (see below), whose sum is σ = 848640. Its totient is φ = 78336.

The previous prime is 276847. The next prime is 276869. The reversal of 276864 is 468672.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276869) by changing a digit.

276864 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 7 ways as a sum of consecutive naturals, for example, 2637 + ... + 2739.

It is an arithmetic number, because the mean of its divisors is an integer number (13260).

276864 is a Friedman number, since it can be written as 6^7-48*2^6, using all its digits and the basic arithmetic operations.

2276864 is an apocalyptic number.

276864 is a gapful number since it is divisible by the number (24) 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 276864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424320).

276864 is an abundant number, since it is smaller than the sum of its proper divisors (571776).

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

276864 is a wasteful number, since it uses less digits than its factorization.

276864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 115 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 276864 is about 526.1786768770. The cubic root of 276864 is about 65.1761690417.

The spelling of 276864 in words is "two hundred seventy-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 103 112 128 168 192 206 224 309 336 384 412 448 618 672 721 824 896 1236 1344 1442 1648 2163 2472 2688 2884 3296 4326 4944 5768 6592 8652 9888 11536 13184 17304 19776 23072 34608 39552 46144 69216 92288 138432 276864