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1829201020 = 225175380003
BaseRepresentation
bin110110100000111…
…0110010001111100
311201110222001001221
41231001312101330
512221233413040
6501302043124
763220644403
oct15501662174
94643861057
101829201020
11859599889
124307194a4
13231c7548a
14134d1863a
15aa8c574a
hex6d07647c

1829201020 has 24 divisors (see below), whose sum is σ = 4067283024. Its totient is φ = 688640256.

The previous prime is 1829201009. The next prime is 1829201027. The reversal of 1829201020 is 201029281.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1829201027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2689662 + ... + 2690341.

It is an arithmetic number, because the mean of its divisors is an integer number (169470126).

Almost surely, 21829201020 is an apocalyptic number.

1829201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1829201020 is an abundant number, since it is smaller than the sum of its proper divisors (2238082004).

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

1829201020 is a wasteful number, since it uses less digits than its factorization.

1829201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5380029 (or 5380027 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 1829201020 is about 42769.1596831175. The cubic root of 1829201020 is about 1222.9831636078.

The spelling of 1829201020 in words is "one billion, eight hundred twenty-nine million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 5380003 10760006 21520012 26900015 53800030 91460051 107600060 182920102 365840204 457300255 914600510 1829201020