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7008820240 = 245857102229
BaseRepresentation
bin1101000011100001…
…00001110000010000
3200002110022221212211
412201300201300100
5103323224221430
63115251201504
7335453663152
oct64160416020
920073287784
107008820240
112a77329424
1214372a6294
138790a3816
144a6bb4ad2
152b04ac72a
hex1a1c21c10

7008820240 has 40 divisors (see below), whose sum is σ = 16314681240. Its totient is φ = 2800229376.

The previous prime is 7008820237. The next prime is 7008820243. The reversal of 7008820240 is 420288007.

It is an interprime number because it is at equal distance from previous prime (7008820237) and next prime (7008820243).

It can be written as a sum of positive squares in 4 ways, for example, as 2469294864 + 4539525376 = 49692^2 + 67376^2 .

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

It is a super-2 number, since 2×70088202402 = 98247122313267315200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7008820243) by changing a digit.

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, 17446 + ... + 119674.

It is an arithmetic number, because the mean of its divisors is an integer number (407867031).

Almost surely, 27008820240 is an apocalyptic number.

It is an amenable number.

7008820240 is an abundant number, since it is smaller than the sum of its proper divisors (9305861000).

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

7008820240 is a wasteful number, since it uses less digits than its factorization.

7008820240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103099 (or 103093 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 7008820240 is about 83718.6970753845. The cubic root of 7008820240 is about 1913.7342985078.

The spelling of 7008820240 in words is "seven billion, eight million, eight hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 857 1714 3428 4285 6856 8570 13712 17140 34280 68560 102229 204458 408916 511145 817832 1022290 1635664 2044580 4089160 8178320 87610253 175220506 350441012 438051265 700882024 876102530 1401764048 1752205060 3504410120 7008820240