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1985468020 = 225382125981
BaseRepresentation
bin111011001010111…
…1101011001110100
312010101000020002121
41312111331121310
513031234434040
6525003245324
7100126125334
oct16625753164
95111006077
101985468020
11929821568
12474b19844
13258459a63
1414b9950c4
15b9491c4a
hex7657d674

1985468020 has 24 divisors (see below), whose sum is σ = 4170734568. Its totient is φ = 793948800.

The previous prime is 1985468003. The next prime is 1985468021. The reversal of 1985468020 is 208645891.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 578017764 + 1407450256 = 24042^2 + 37516^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1985468021) 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 7 ways as a sum of consecutive naturals, for example, 63430 + ... + 89410.

It is an arithmetic number, because the mean of its divisors is an integer number (173780607).

Almost surely, 21985468020 is an apocalyptic number.

1985468020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1985468020 is an abundant number, since it is smaller than the sum of its proper divisors (2185266548).

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

1985468020 is a wasteful number, since it uses less digits than its factorization.

1985468020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29811 (or 29809 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The square root of 1985468020 is about 44558.5908664087. The cubic root of 1985468020 is about 1256.8621045500.

The spelling of 1985468020 in words is "one billion, nine hundred eighty-five million, four hundred sixty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 3821 7642 15284 19105 25981 38210 51962 76420 103924 129905 259810 519620 99273401 198546802 397093604 496367005 992734010 1985468020