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4081560320 = 28529310883
BaseRepresentation
bin1111001101000111…
…1010101100000000
3101112110011202011202
43303101322230000
531324334412240
61513002000332
7203100455525
oct36321725400
911473152152
104081560320
111804a30752
1295aaa60a8
135007aa066
142aa10514c
1518d4d6315
hexf347ab00

4081560320 has 72 divisors (see below), whose sum is σ = 9810881136. Its totient is φ = 1626902528.

The previous prime is 4081560313. The next prime is 4081560331. The reversal of 4081560320 is 230651804.

It is a super-3 number, since 3×40815603203 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 369599 + ... + 380481.

It is an arithmetic number, because the mean of its divisors is an integer number (136262238).

Almost surely, 24081560320 is an apocalyptic number.

4081560320 is a gapful number since it is divisible by the number (40) 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 4081560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4905440568).

4081560320 is an abundant number, since it is smaller than the sum of its proper divisors (5729320816).

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

4081560320 is a wasteful number, since it uses less digits than its factorization.

4081560320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11197 (or 11183 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 4081560320 is about 63887.0904017392. The cubic root of 4081560320 is about 1598.1176196043.

The spelling of 4081560320 in words is "four billion, eighty-one million, five hundred sixty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 293 320 586 640 1172 1280 1465 2344 2930 4688 5860 9376 10883 11720 18752 21766 23440 37504 43532 46880 54415 75008 87064 93760 108830 174128 187520 217660 348256 375040 435320 696512 870640 1393024 1741280 2786048 3188719 3482560 6377438 6965120 12754876 13930240 15943595 25509752 31887190 51019504 63774380 102039008 127548760 204078016 255097520 408156032 510195040 816312064 1020390080 2040780160 4081560320