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2045601320 = 235728125999
BaseRepresentation
bin111100111101101…
…0110011000101000
312021120011022110212
41321323112120220
513142133220240
6534552200252
7101456216150
oct17173263050
95246138425
102045601320
1195a763604
12491099088
13267a525a9
14155969760
15be8be165
hex79ed6628

2045601320 has 64 divisors (see below), whose sum is σ = 5279040000. Its totient is φ = 698826240.

The previous prime is 2045601307. The next prime is 2045601343. The reversal of 2045601320 is 231065402.

It is an unprimeable number.

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, 65681 + ... + 91679.

It is an arithmetic number, because the mean of its divisors is an integer number (82485000).

Almost surely, 22045601320 is an apocalyptic number.

2045601320 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 2045601320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639520000).

2045601320 is an abundant number, since it is smaller than the sum of its proper divisors (3233438680).

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

2045601320 is a wasteful number, since it uses less digits than its factorization.

2045601320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26298 (or 26294 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2045601320 is about 45228.3243112101. The cubic root of 2045601320 is about 1269.4248578929.

Adding to 2045601320 its reverse (231065402), we get a palindrome (2276666722).

The spelling of 2045601320 in words is "two billion, forty-five million, six hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 281 562 1124 1405 1967 2248 2810 3934 5620 7868 9835 11240 15736 19670 25999 39340 51998 78680 103996 129995 181993 207992 259990 363986 519980 727972 909965 1039960 1455944 1819930 3639860 7279720 7305719 14611438 29222876 36528595 51140033 58445752 73057190 102280066 146114380 204560132 255700165 292228760 409120264 511400330 1022800660 2045601320