Search a number
-
+
4004244660 = 22351313733739
BaseRepresentation
bin1110111010101011…
…1110110010110100
3101100001200201000210
43232222332302310
531200041312120
61501200505420
7201141342453
oct35652766264
911301621023
104004244660
111775323309
1293901b270
134ba779750
1429db3ab9a
15186812ce0
hexeeabecb4

4004244660 has 96 divisors (see below), whose sum is σ = 12086363520. Its totient is φ = 984678912.

The previous prime is 4004244649. The next prime is 4004244677. The reversal of 4004244660 is 664424004.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1069071 + ... + 1072809.

It is an arithmetic number, because the mean of its divisors is an integer number (125899620).

Almost surely, 24004244660 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 4004244660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6043181760).

4004244660 is an abundant number, since it is smaller than the sum of its proper divisors (8082118860).

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

4004244660 is a wasteful number, since it uses less digits than its factorization.

4004244660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5137 (or 5135 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 4004244660 is about 63279.1012894463. The cubic root of 4004244660 is about 1587.9623516169.

Adding to 4004244660 its reverse (664424004), we get a palindrome (4668668664).

The spelling of 4004244660 in words is "four billion, four million, two hundred forty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1373 2746 3739 4119 5492 6865 7478 8238 11217 13730 14956 16476 17849 18695 20595 22434 27460 35698 37390 41190 44868 48607 53547 56085 71396 74780 82380 89245 97214 107094 112170 145821 178490 194428 214188 224340 243035 267735 291642 356980 486070 535470 583284 729105 972140 1070940 1458210 2916420 5133647 10267294 15400941 20534588 25668235 30801882 51336470 61603764 66737411 77004705 102672940 133474822 154009410 200212233 266949644 308018820 333687055 400424466 667374110 800848932 1001061165 1334748220 2002122330 4004244660