Search a number
-
+
13001706720 = 2532546319501
BaseRepresentation
bin11000001101111011…
…00100110011100000
31020120010000010122100
430012331210303200
5203111414103340
65550051410400
7640123453332
oct140675446340
936503003570
1013001706720
115572140772
12262a2b3a00
1312c284b7b2
148b4a91452
1551168c830
hex306f64ce0

13001706720 has 144 divisors (see below), whose sum is σ = 44466432192. Its totient is φ = 3459456000.

The previous prime is 13001706701. The next prime is 13001706721. The reversal of 13001706720 is 2760710031.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001706721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 656970 + ... + 676470.

It is an arithmetic number, because the mean of its divisors is an integer number (308794668).

Almost surely, 213001706720 is an apocalyptic number.

13001706720 is a gapful number since it is divisible by the number (10) 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 13001706720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22233216096).

13001706720 is an abundant number, since it is smaller than the sum of its proper divisors (31464725472).

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

13001706720 is a wasteful number, since it uses less digits than its factorization.

13001706720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19985 (or 19974 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The spelling of 13001706720 in words is "thirteen billion, one million, seven hundred six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 463 480 720 926 1389 1440 1852 2315 2778 3704 4167 4630 5556 6945 7408 8334 9260 11112 13890 14816 16668 18520 19501 20835 22224 27780 33336 37040 39002 41670 44448 55560 58503 66672 74080 78004 83340 97505 111120 117006 133344 156008 166680 175509 195010 222240 234012 292515 312016 333360 351018 390020 468024 585030 624032 666720 702036 780040 877545 936048 1170060 1404072 1560080 1755090 1872096 2340120 2808144 3120160 3510180 4680240 5616288 7020360 9028963 9360480 14040720 18057926 27086889 28081440 36115852 45144815 54173778 72231704 81260667 90289630 108347556 135434445 144463408 162521334 180579260 216695112 270868890 288926816 325042668 361158520 406303335 433390224 541737780 650085336 722317040 812606670 866780448 1083475560 1300170672 1444634080 1625213340 2166951120 2600341344 3250426680 4333902240 6500853360 13001706720