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4401300420 = 22325112976651
BaseRepresentation
bin1000001100101011…
…01000001111000100
3102100201211020010200
410012111220033010
533003213103140
62004423050500
7214032302436
oct40625501704
912321736120
104401300420
111959468170
12a29ba0a30
13551ac9b9a
142da776656
151ab5e4030
hex1065683c4

4401300420 has 144 divisors (see below), whose sum is σ = 15066717120. Its totient is φ = 1030176000.

The previous prime is 4401300419. The next prime is 4401300469. The reversal of 4401300420 is 240031044.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4401300393 and 4401300402.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 19095 + ... + 95745.

It is an arithmetic number, because the mean of its divisors is an integer number (104629980).

Almost surely, 24401300420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4401300420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7533358560).

4401300420 is an abundant number, since it is smaller than the sum of its proper divisors (10665416700).

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

4401300420 is a wasteful number, since it uses less digits than its factorization.

4401300420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76706 (or 76701 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4401300420 is about 66342.2973675166. The cubic root of 4401300420 is about 1638.8039589010.

Adding to 4401300420 its reverse (240031044), we get a palindrome (4641331464).

The spelling of 4401300420 in words is "four billion, four hundred one million, three hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 29 30 33 36 44 45 55 58 60 66 87 90 99 110 116 132 145 165 174 180 198 220 261 290 319 330 348 396 435 495 522 580 638 660 870 957 990 1044 1276 1305 1595 1740 1914 1980 2610 2871 3190 3828 4785 5220 5742 6380 9570 11484 14355 19140 28710 57420 76651 153302 229953 306604 383255 459906 689859 766510 843161 919812 1149765 1379718 1533020 1686322 2222879 2299530 2529483 2759436 3372644 3449295 4215805 4445758 4599060 5058966 6668637 6898590 7588449 8431610 8891516 10117932 11114395 12647415 13337274 13797180 15176898 16863220 20005911 22228790 24451669 25294830 26674548 30353796 33343185 37942245 40011822 44457580 48903338 50589660 66686370 73355007 75884490 80023644 97806676 100029555 122258345 133372740 146710014 151768980 200059110 220065021 244516690 293420028 366775035 400118220 440130042 489033380 733550070 880260084 1100325105 1467100140 2200650210 4401300420