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4073721840 = 2432519492903
BaseRepresentation
bin1111001011010000…
…0000111111110000
3101111220102111210200
43302310000333300
531320333044330
61512121555200
7202644031026
oct36264007760
911456374720
104073721840
111800567571
12958345b00
134cbc942c6
142a9064716
1518c988a60
hexf2d00ff0

4073721840 has 120 divisors (see below), whose sum is σ = 13692650400. Its totient is φ = 1085394432.

The previous prime is 4073721767. The next prime is 4073721859. The reversal of 4073721840 is 481273704.

It is a happy number.

4073721840 is a `hidden beast` number, since 407 + 3 + 72 + 184 + 0 = 666.

4073721840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4073721795 and 4073721804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1401829 + ... + 1404731.

It is an arithmetic number, because the mean of its divisors is an integer number (114105420).

Almost surely, 24073721840 is an apocalyptic number.

4073721840 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 4073721840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6846325200).

4073721840 is an abundant number, since it is smaller than the sum of its proper divisors (9618928560).

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

4073721840 is a wasteful number, since it uses less digits than its factorization.

4073721840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4871 (or 4862 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4073721840 is about 63825.7145670928. The cubic root of 4073721840 is about 1597.0939228094.

The spelling of 4073721840 in words is "four billion, seventy-three million, seven hundred twenty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1949 2903 3898 5806 5847 7796 8709 9745 11612 11694 14515 15592 17418 17541 19490 23224 23388 26127 29030 29235 31184 34836 35082 38980 43545 46448 46776 52254 58060 58470 69672 70164 77960 87090 87705 93552 104508 116120 116940 130635 139344 140328 155920 174180 175410 209016 232240 233880 261270 280656 348360 350820 418032 467760 522540 696720 701640 1045080 1403280 2090160 5657947 11315894 16973841 22631788 28289735 33947682 45263576 50921523 56579470 67895364 84869205 90527152 101843046 113158940 135790728 169738410 203686092 226317880 254607615 271581456 339476820 407372184 452635760 509215230 678953640 814744368 1018430460 1357907280 2036860920 4073721840