Search a number
-
+
15484716240 = 2435743214351
BaseRepresentation
bin11100110101111011…
…00000010011010000
31110222011020002100220
432122331200103100
5223203041404430
611040311113040
71055503626210
oct163275402320
943864202326
1015484716240
11662679a554
123001972780
1315ca0ac5b6
14a6c75c240
1560965e110
hex39af604d0

15484716240 has 160 divisors (see below), whose sum is σ = 56136216576. Its totient is φ = 3457036800.

The previous prime is 15484716229. The next prime is 15484716241. The reversal of 15484716240 is 4261748451.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 15484716192 and 15484716201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15484716241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34936 + ... + 179415.

Almost surely, 215484716240 is an apocalyptic number.

15484716240 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 15484716240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28068108288).

15484716240 is an abundant number, since it is smaller than the sum of its proper divisors (40651500336).

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

15484716240 is a wasteful number, since it uses less digits than its factorization.

15484716240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214417 (or 214411 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 15484716240 in words is "fifteen billion, four hundred eighty-four million, seven hundred sixteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 43 48 56 60 70 80 84 86 105 112 120 129 140 168 172 210 215 240 258 280 301 336 344 420 430 516 560 602 645 688 840 860 903 1032 1204 1290 1505 1680 1720 1806 2064 2408 2580 3010 3440 3612 4515 4816 5160 6020 7224 9030 10320 12040 14448 18060 24080 36120 72240 214351 428702 643053 857404 1071755 1286106 1500457 1714808 2143510 2572212 3000914 3215265 3429616 4287020 4501371 5144424 6001828 6430530 7502285 8574040 9002742 9217093 10288848 12003656 12861060 15004570 17148080 18005484 18434186 22506855 24007312 25722120 27651279 30009140 36010968 36868372 45013710 46085465 51444240 55302558 60018280 64519651 72021936 73736744 90027420 92170930 110605116 120036560 129039302 138256395 147473488 180054840 184341860 193558953 221210232 258078604 276512790 322598255 360109680 368683720 387117906 442420464 516157208 553025580 645196510 737367440 774235812 967794765 1032314416 1106051160 1290393020 1548471624 1935589530 2212102320 2580786040 3096943248 3871179060 5161572080 7742358120 15484716240