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2027307024 = 243247595077
BaseRepresentation
bin111100011010110…
…0100000000010000
312020021201212102100
41320311210000100
513122442311044
6533100120400
7101144553051
oct17065440020
95207655370
102027307024
119503a8856
12486b36100
13264018672
14153366728
15bcea8869
hex78d64010

2027307024 has 120 divisors (see below), whose sum is σ = 5893729920. Its totient is φ = 650052864.

The previous prime is 2027307019. The next prime is 2027307041. The reversal of 2027307024 is 4207037202.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 396774 + ... + 401850.

It is an arithmetic number, because the mean of its divisors is an integer number (49114416).

Almost surely, 22027307024 is an apocalyptic number.

2027307024 is a gapful number since it is divisible by the number (24) 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 2027307024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946864960).

2027307024 is an abundant number, since it is smaller than the sum of its proper divisors (3866422896).

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

2027307024 is a wasteful number, since it uses less digits than its factorization.

2027307024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5197 (or 5188 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 2027307024 is about 45025.6263032509. The cubic root of 2027307024 is about 1265.6292648489.

The spelling of 2027307024 in words is "two billion, twenty-seven million, three hundred seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 59 72 94 118 141 144 177 188 236 282 354 376 423 472 531 564 708 752 846 944 1062 1128 1416 1692 2124 2256 2773 2832 3384 4248 5077 5546 6768 8319 8496 10154 11092 15231 16638 20308 22184 24957 30462 33276 40616 44368 45693 49914 60924 66552 81232 91386 99828 121848 133104 182772 199656 238619 243696 299543 365544 399312 477238 599086 715857 731088 898629 954476 1198172 1431714 1797258 1908952 2147571 2396344 2695887 2863428 3594516 3817904 4295142 4792688 5391774 5726856 7189032 8590284 10783548 11453712 14078521 14378064 17180568 21567096 28157042 34361136 42235563 43134192 56314084 84471126 112628168 126706689 168942252 225256336 253413378 337884504 506826756 675769008 1013653512 2027307024