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1820726020 = 225349260849
BaseRepresentation
bin110110010000110…
…0001001100000100
311200220000110120001
41230201201030010
512212101213040
6500400251044
763055626061
oct15441411404
94626013501
101820726020
11854830453
12429910a84
13230298a99
14133b4dc68
15a9c9e59a
hex6c861304

1820726020 has 24 divisors (see below), whose sum is σ = 3834495000. Its totient is φ = 726200832.

The previous prime is 1820725999. The next prime is 1820726021. The reversal of 1820726020 is 206270281.

It can be written as a sum of positive squares in 4 ways, for example, as 231587524 + 1589138496 = 15218^2 + 39864^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1820726020.

It is not an unprimeable number, because it can be changed into a prime (1820726021) 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, 123445 + ... + 137404.

It is an arithmetic number, because the mean of its divisors is an integer number (159770625).

Almost surely, 21820726020 is an apocalyptic number.

1820726020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1820726020 is an abundant number, since it is smaller than the sum of its proper divisors (2013768980).

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

1820726020 is a wasteful number, since it uses less digits than its factorization.

1820726020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261207 (or 261205 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 1820726020 is about 42669.9662526232. The cubic root of 1820726020 is about 1221.0914759628.

The spelling of 1820726020 in words is "one billion, eight hundred twenty million, seven hundred twenty-six thousand, twenty".

Divisors: 1 2 4 5 10 20 349 698 1396 1745 3490 6980 260849 521698 1043396 1304245 2608490 5216980 91036301 182072602 364145204 455181505 910363010 1820726020