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4414020320 = 255173315919
BaseRepresentation
bin1000001110001100…
…01001101011100000
3102101121202110120002
410013012021223200
533014442122240
62005555435132
7214245360623
oct40706115340
912347673502
104414020320
111965665886
12a322b5aa8
13554631758
142dc327dba
151ac7a7d15
hex107189ae0

4414020320 has 48 divisors (see below), whose sum is σ = 10434795840. Its totient is φ = 1764478464.

The previous prime is 4414020319. The next prime is 4414020323. The reversal of 4414020320 is 230204144.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4414020292 and 4414020301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4414020323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 269321 + ... + 285239.

It is an arithmetic number, because the mean of its divisors is an integer number (217391580).

Almost surely, 24414020320 is an apocalyptic number.

4414020320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4414020320 is an abundant number, since it is smaller than the sum of its proper divisors (6020775520).

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

4414020320 is a wasteful number, since it uses less digits than its factorization.

4414020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17667 (or 17659 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4414020320 is about 66438.0938919834. The cubic root of 4414020320 is about 1640.3811725542.

Adding to 4414020320 its reverse (230204144), we get a palindrome (4644224464).

The spelling of 4414020320 in words is "four billion, four hundred fourteen million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1733 3466 6932 8665 13864 15919 17330 27728 31838 34660 55456 63676 69320 79595 127352 138640 159190 254704 277280 318380 509408 636760 1273520 2547040 27587627 55175254 110350508 137938135 220701016 275876270 441402032 551752540 882804064 1103505080 2207010160 4414020320