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276052640 = 2551739973
BaseRepresentation
bin10000011101000…
…011101010100000
3201020102221000212
4100131003222200
51031132141030
643220433252
76561260123
oct2035035240
9636387025
10276052640
11131908486
1278548828
1345264a76
142893c3ba
151937d595
hex10743aa0

276052640 has 48 divisors (see below), whose sum is σ = 656009928. Its totient is φ = 109771776.

The previous prime is 276052627. The next prime is 276052709. The reversal of 276052640 is 46250672.

It can be written as a sum of positive squares in 4 ways, for example, as 226321936 + 49730704 = 15044^2 + 7052^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 276052597 and 276052606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22694 + ... + 32666.

Almost surely, 2276052640 is an apocalyptic number.

276052640 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 276052640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328004964).

276052640 is an abundant number, since it is smaller than the sum of its proper divisors (379957288).

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

276052640 is a wasteful number, since it uses less digits than its factorization.

276052640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10161 (or 10153 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 276052640 is about 16614.8319281298. The cubic root of 276052640 is about 651.1243970449.

The spelling of 276052640 in words is "two hundred seventy-six million, fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 173 346 692 865 1384 1730 2768 3460 5536 6920 9973 13840 19946 27680 39892 49865 79784 99730 159568 199460 319136 398920 797840 1595680 1725329 3450658 6901316 8626645 13802632 17253290 27605264 34506580 55210528 69013160 138026320 276052640