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276140020 = 225137314549
BaseRepresentation
bin10000011101011…
…000111111110100
3201020121100220011
4100131120333310
51031142440040
643222350004
76562102642
oct2035307764
9636540804
10276140020
111319680a2
127858b304
1345295780
1428962192
15193993ea
hex10758ff4

276140020 has 48 divisors (see below), whose sum is σ = 633099600. Its totient is φ = 100555776.

The previous prime is 276140003. The next prime is 276140069. The reversal of 276140020 is 20041672.

It can be written as a sum of positive squares in 8 ways, for example, as 646416 + 275493604 = 804^2 + 16598^2 .

It is a junction number, because it is equal to n+sod(n) for n = 276139973 and 276140000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11706 + ... + 26254.

It is an arithmetic number, because the mean of its divisors is an integer number (13189575).

Almost surely, 2276140020 is an apocalyptic number.

276140020 is a gapful number since it is divisible by the number (20) 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 276140020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316549800).

276140020 is an abundant number, since it is smaller than the sum of its proper divisors (356959580).

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

276140020 is a wasteful number, since it uses less digits than its factorization.

276140020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14644 (or 14642 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 276140020 is about 16617.4612982850. The cubic root of 276140020 is about 651.1930907643.

Adding to 276140020 its reverse (20041672), we get a palindrome (296181692).

The spelling of 276140020 in words is "two hundred seventy-six million, one hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 260 292 365 730 949 1460 1898 3796 4745 9490 14549 18980 29098 58196 72745 145490 189137 290980 378274 756548 945685 1062077 1891370 2124154 3782740 4248308 5310385 10620770 13807001 21241540 27614002 55228004 69035005 138070010 276140020