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276060672 = 2932139431
BaseRepresentation
bin10000011101000…
…101101000000000
3201020110100001100
4100131011220000
51031132420142
643220534400
76561322416
oct2035055000
9636410040
10276060672
11131913518
1278551400
1345268614
14289412b6
1519380b4c
hex10745a00

276060672 has 120 divisors (see below), whose sum is σ = 804323520. Its totient is φ = 91146240.

The previous prime is 276060661. The next prime is 276060677.

276060672 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (276060677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 640297 + ... + 640727.

It is an arithmetic number, because the mean of its divisors is an integer number (6702696).

Almost surely, 2276060672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 276060672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402161760).

276060672 is an abundant number, since it is smaller than the sum of its proper divisors (528262848).

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

276060672 is a wasteful number, since it uses less digits than its factorization.

276060672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 276060672 is about 16615.0736381155. The cubic root of 276060672 is about 651.1307120005.

The spelling of 276060672 in words is "two hundred seventy-six million, sixty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 139 144 192 256 278 288 384 417 431 512 556 576 768 834 862 1112 1152 1251 1293 1536 1668 1724 2224 2304 2502 2586 3336 3448 3879 4448 4608 5004 5172 6672 6896 7758 8896 10008 10344 13344 13792 15516 17792 20016 20688 26688 27584 31032 35584 40032 41376 53376 55168 59909 62064 71168 80064 82752 106752 110336 119818 124128 160128 165504 179727 213504 220672 239636 248256 320256 331008 359454 479272 496512 539181 640512 662016 718908 958544 993024 1078362 1437816 1917088 1986048 2156724 2875632 3834176 4313448 5751264 7668352 8626896 11502528 15336704 17253792 23005056 30673408 34507584 46010112 69015168 92020224 138030336 276060672