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2076775040 = 27517318757
BaseRepresentation
bin111101111001001…
…0001001010000000
312100201211002210002
41323302101022000
513223123300130
6542024255132
7102315203504
oct17362211200
95321732702
102076775040
1197631590a
1249b6114a8
13271348892
14159b62304
15c24cab45
hex7bc91280

2076775040 has 64 divisors (see below), whose sum is σ = 4993754760. Its totient is φ = 825864192.

The previous prime is 2076775037. The next prime is 2076775049. The reversal of 2076775040 is 405776702.

It can be written as a sum of positive squares in 4 ways, for example, as 2014932544 + 61842496 = 44888^2 + 7864^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2076774985 and 2076775003.

It is not an unprimeable number, because it can be changed into a prime (2076775049) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 101342 + ... + 120098.

Almost surely, 22076775040 is an apocalyptic number.

2076775040 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 2076775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496877380).

2076775040 is an abundant number, since it is smaller than the sum of its proper divisors (2916979720).

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

2076775040 is a wasteful number, since it uses less digits than its factorization.

2076775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18949 (or 18937 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 38.

The square root of 2076775040 is about 45571.6473259416. The cubic root of 2076775040 is about 1275.8407966913.

The spelling of 2076775040 in words is "two billion, seventy-six million, seven hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 173 320 346 640 692 865 1384 1730 2768 3460 5536 6920 11072 13840 18757 22144 27680 37514 55360 75028 93785 110720 150056 187570 300112 375140 600224 750280 1200448 1500560 2400896 3001120 3244961 6002240 6489922 12004480 12979844 16224805 25959688 32449610 51919376 64899220 103838752 129798440 207677504 259596880 415355008 519193760 1038387520 2076775040