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276028704 = 25327235953
BaseRepresentation
bin10000011100111…
…101110100100000
3201020101201012100
4100130331310200
51031130404304
643220130400
76561130260
oct2034756440
9636351170
10276028704
111318a14a6
1278536a00
1345256bc3
14289337a0
1519376439
hex1073dd20

276028704 has 144 divisors (see below), whose sum is σ = 936254592. Its totient is φ = 75423744.

The previous prime is 276028693. The next prime is 276028733. The reversal of 276028704 is 407820672.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43392 + ... + 49344.

It is an arithmetic number, because the mean of its divisors is an integer number (6501768).

Almost surely, 2276028704 is an apocalyptic number.

276028704 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 276028704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468127296).

276028704 is an abundant number, since it is smaller than the sum of its proper divisors (660225888).

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

276028704 is a wasteful number, since it uses less digits than its factorization.

276028704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5999 (or 5988 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 276028704 is about 16614.1115922580. Note that the first 3 decimals coincide. The cubic root of 276028704 is about 651.1055772478.

The spelling of 276028704 in words is "two hundred seventy-six million, twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1288 1449 1656 1932 2016 2208 2576 2898 3312 3864 5152 5796 5953 6624 7728 11592 11906 15456 17859 23184 23812 35718 41671 46368 47624 53577 71436 83342 95248 107154 125013 136919 142872 166684 190496 214308 250026 273838 285744 333368 375039 410757 428616 500052 547676 571488 666736 750078 821514 857232 958433 1000104 1095352 1232271 1333472 1500156 1643028 1714464 1916866 2000208 2190704 2464542 2875299 3000312 3286056 3833732 4000416 4381408 4929084 5750598 6000624 6572112 7667464 8625897 9858168 11501196 12001248 13144224 15334928 17251794 19716336 23002392 30669856 34503588 39432672 46004784 69007176 92009568 138014352 276028704