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4080891320 = 2351137439571
BaseRepresentation
bin1111001100111101…
…0111010110111000
3101112101220202110222
43303033113112320
531324202010240
61512535355212
7203062001222
oct36317272670
911471822428
104080891320
111804614060
1295a822b08
135006046bc
142a9dad412
1518d402eb5
hexf33d75b8

4080891320 has 128 divisors (see below), whose sum is σ = 10328947200. Its totient is φ = 1438041600.

The previous prime is 4080891313. The next prime is 4080891323. The reversal of 4080891320 is 231980804.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4080891323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7146635 + ... + 7147205.

It is an arithmetic number, because the mean of its divisors is an integer number (80694900).

Almost surely, 24080891320 is an apocalyptic number.

4080891320 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 4080891320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5164473600).

4080891320 is an abundant number, since it is smaller than the sum of its proper divisors (6248055880).

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

4080891320 is a wasteful number, since it uses less digits than its factorization.

4080891320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 4080891320 is about 63881.8543876115. The cubic root of 4080891320 is about 1598.0303001299.

The spelling of 4080891320 in words is "four billion, eighty million, eight hundred ninety-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 296 370 407 439 440 571 740 814 878 1142 1480 1628 1756 2035 2195 2284 2855 3256 3512 4070 4390 4568 4829 5710 6281 8140 8780 9658 11420 12562 16243 16280 17560 19316 21127 22840 24145 25124 31405 32486 38632 42254 48290 50248 62810 64972 81215 84508 96580 105635 125620 129944 162430 169016 178673 193160 211270 232397 250669 251240 324860 357346 422540 464794 501338 649720 714692 845080 893365 929588 1002676 1161985 1253345 1429384 1786730 1859176 2005352 2323970 2506690 2757359 3573460 4647940 5013380 5514718 7146920 9274753 9295880 10026760 11029436 13786795 18549506 22058872 27573590 37099012 46373765 55147180 74198024 92747530 102022283 110294360 185495060 204044566 370990120 408089132 510111415 816178264 1020222830 2040445660 4080891320