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7132085590 = 257376534217
BaseRepresentation
bin1101010010001101…
…01111110101010110
3200102001021111011011
412221012233311112
5104101303214330
63135413202434
7341511504310
oct65106576526
920361244134
107132085590
11302a970513
12147063041a
138987a1ab6
144b93007b0
152bb20a82a
hex1a91afd56

7132085590 has 64 divisors (see below), whose sum is σ = 15094905984. Its totient is φ = 2374990848.

The previous prime is 7132085567. The next prime is 7132085591. The reversal of 7132085590 is 955802317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7132085591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1689162 + ... + 1693378.

It is an arithmetic number, because the mean of its divisors is an integer number (235857906).

Almost surely, 27132085590 is an apocalyptic number.

7132085590 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7132085590 is an abundant number, since it is smaller than the sum of its proper divisors (7962820394).

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

7132085590 is a wasteful number, since it uses less digits than its factorization.

7132085590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4921.

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 7132085590 is about 84451.6760638887. The cubic root of 7132085590 is about 1924.8882233405. Note that the first 3 decimals are identical.

The spelling of 7132085590 in words is "seven billion, one hundred thirty-two million, eighty-five thousand, five hundred ninety".

Divisors: 1 2 5 7 10 14 35 37 70 74 185 259 370 518 653 1295 1306 2590 3265 4217 4571 6530 8434 9142 21085 22855 24161 29519 42170 45710 48322 59038 120805 147595 156029 169127 241610 295190 312058 338254 780145 845635 1092203 1560290 1691270 2184406 2753701 5461015 5507402 10922030 13768505 19275907 27537010 38551814 96379535 101886937 192759070 203773874 509434685 713208559 1018869370 1426417118 3566042795 7132085590