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2070345240 = 233255779967
BaseRepresentation
bin111101101100110…
…1111011000011000
312100021201102202100
41323121233120120
513220002021430
6541234403400
7102206433645
oct17331573030
95307642670
102070345240
11972724027
12499430560
1326cc07072
14158d6adcc
15c1b5a960
hex7b66f618

2070345240 has 96 divisors (see below), whose sum is σ = 6740959680. Its totient is φ = 551079936.

The previous prime is 2070345227. The next prime is 2070345257. The reversal of 2070345240 is 425430702.

2070345240 is a `hidden beast` number, since 207 + 0 + 3 + 452 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202737 + ... + 212703.

It is an arithmetic number, because the mean of its divisors is an integer number (70218330).

Almost surely, 22070345240 is an apocalyptic number.

2070345240 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 2070345240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370479840).

2070345240 is an abundant number, since it is smaller than the sum of its proper divisors (4670614440).

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

2070345240 is a wasteful number, since it uses less digits than its factorization.

2070345240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10561 (or 10554 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 2070345240 is about 45501.0465813700. The cubic root of 2070345240 is about 1274.5227464072.

Adding to 2070345240 its reverse (425430702), we get a palindrome (2495775942).

The spelling of 2070345240 in words is "two billion, seventy million, three hundred forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 577 1154 1731 2308 2885 3462 4616 5193 5770 6924 8655 9967 10386 11540 13848 17310 19934 20772 23080 25965 29901 34620 39868 41544 49835 51930 59802 69240 79736 89703 99670 103860 119604 149505 179406 199340 207720 239208 299010 358812 398680 448515 598020 717624 897030 1196040 1794060 3588120 5750959 11501918 17252877 23003836 28754795 34505754 46007672 51758631 57509590 69011508 86264385 103517262 115019180 138023016 172528770 207034524 230038360 258793155 345057540 414069048 517586310 690115080 1035172620 2070345240