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2706631120 = 24540982721
BaseRepresentation
bin1010000101010011…
…1110100111010000
320222122000002220001
42201110332213100
521020344143440
61124324255344
7124033661554
oct24124764720
96878002801
102706631120
111169906026
12636541554
13341998a9b
141b967b864
1510c944b9a
hexa153e9d0

2706631120 has 40 divisors (see below), whose sum is σ = 6308379720. Its totient is φ = 1079992320.

The previous prime is 2706631097. The next prime is 2706631121. The reversal of 2706631120 is 211366072.

It can be written as a sum of positive squares in 4 ways, for example, as 350887824 + 2355743296 = 18732^2 + 48536^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2706631121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8641 + ... + 74080.

It is an arithmetic number, because the mean of its divisors is an integer number (157709493).

Almost surely, 22706631120 is an apocalyptic number.

2706631120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2706631120 is an abundant number, since it is smaller than the sum of its proper divisors (3601748600).

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

2706631120 is a wasteful number, since it uses less digits than its factorization.

2706631120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83143 (or 83137 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 2706631120 is about 52025.2930794244. The cubic root of 2706631120 is about 1393.6156785834.

Adding to 2706631120 its reverse (211366072), we get a palindrome (2917997192).

The spelling of 2706631120 in words is "two billion, seven hundred six million, six hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 409 818 1636 2045 3272 4090 6544 8180 16360 32720 82721 165442 330884 413605 661768 827210 1323536 1654420 3308840 6617680 33832889 67665778 135331556 169164445 270663112 338328890 541326224 676657780 1353315560 2706631120