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2034728020 = 2251315151827
BaseRepresentation
bin111100101000111…
…0111110001010100
312020210200220010001
41321101313301110
513131342244040
6533523141044
7101264621443
oct17121676124
95223626101
102034728020
11954607306
12489514784
132657163a0
14154338d5a
15bd97259a
hex79477c54

2034728020 has 48 divisors (see below), whose sum is σ = 4632179328. Its totient is φ = 746294400.

The previous prime is 2034727987. The next prime is 2034728021. The reversal of 2034728020 is 208274302.

It is a self number, because there is not a number n which added to its sum of digits gives 2034728020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034728021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13347 + ... + 65173.

It is an arithmetic number, because the mean of its divisors is an integer number (96503736).

Almost surely, 22034728020 is an apocalyptic number.

2034728020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034728020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316089664).

2034728020 is an abundant number, since it is smaller than the sum of its proper divisors (2597451308).

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

2034728020 is a wasteful number, since it uses less digits than its factorization.

2034728020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52000 (or 51998 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 2034728020 is about 45107.9596080337. The cubic root of 2034728020 is about 1267.1716710565.

The spelling of 2034728020 in words is "two billion, thirty-four million, seven hundred twenty-eight thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 151 260 302 604 755 1510 1963 3020 3926 7852 9815 19630 39260 51827 103654 207308 259135 518270 673751 1036540 1347502 2695004 3368755 6737510 7825877 13475020 15651754 31303508 39129385 78258770 101736401 156517540 203472802 406945604 508682005 1017364010 2034728020