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441013860 = 223257834217
BaseRepresentation
bin11010010010010…
…101011001100100
31010201211211021200
4122102111121210
51400344420420
6111432242500
713633361460
oct3222253144
91121754250
10441013860
11206a39271
12103840430
13704a1761
14427dd4a0
1528ab5b90
hex1a495664

441013860 has 144 divisors (see below), whose sum is σ = 1547634816. Its totient is φ = 99565056.

The previous prime is 441013721. The next prime is 441013871. The reversal of 441013860 is 68310144.

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, 102472 + ... + 106688.

It is an arithmetic number, because the mean of its divisors is an integer number (10747464).

Almost surely, 2441013860 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 441013860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773817408).

441013860 is an abundant number, since it is smaller than the sum of its proper divisors (1106620956).

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

441013860 is a wasteful number, since it uses less digits than its factorization.

441013860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 441013860 is about 21000.3299974072. The cubic root of 441013860 is about 761.1742351412.

It can be divided in two parts, 44101 and 3860, that added together give a square (47961 = 2192).

The spelling of 441013860 in words is "four hundred forty-one million, thirteen thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 83 84 90 105 126 140 166 180 210 249 252 315 332 415 420 498 581 630 747 830 996 1162 1245 1260 1494 1660 1743 2324 2490 2905 2988 3486 3735 4217 4980 5229 5810 6972 7470 8434 8715 10458 11620 12651 14940 16868 17430 20916 21085 25302 26145 29519 34860 37953 42170 50604 52290 59038 63255 75906 84340 88557 104580 118076 126510 147595 151812 177114 189765 253020 265671 295190 350011 354228 379530 442785 531342 590380 700022 759060 885570 1050033 1062684 1328355 1400044 1750055 1771140 2100066 2450077 2656710 3150099 3500110 4200132 4900154 5250165 5313420 6300198 7000220 7350231 9800308 10500330 12250385 12600396 14700462 15750495 21000660 22050693 24500770 29400924 31500990 36751155 44101386 49001540 63001980 73502310 88202772 110253465 147004620 220506930 441013860