Search a number
-
+
15341300240 = 245728943973
BaseRepresentation
bin11100100100110100…
…11010101000010000
31110121011100210121012
432102122122220100
5222404333101430
611014145150052
71052112620600
oct162232325020
943534323535
1015341300240
116562844a32
122b8192b328
1315a6477466
14a576a8c00
155ebc80695
hex39269aa10

15341300240 has 120 divisors (see below), whose sum is σ = 41959111320. Its totient is φ = 5200656384.

The previous prime is 15341300231. The next prime is 15341300263. The reversal of 15341300240 is 4200314351.

It can be written as a sum of positive squares in 4 ways, for example, as 328189456 + 15013110784 = 18116^2 + 122528^2 .

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, 326894 + ... + 370866.

It is an arithmetic number, because the mean of its divisors is an integer number (349659261).

Almost surely, 215341300240 is an apocalyptic number.

15341300240 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 15341300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20979555660).

15341300240 is an abundant number, since it is smaller than the sum of its proper divisors (26617811080).

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

15341300240 is a wasteful number, since it uses less digits than its factorization.

15341300240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44089 (or 44076 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 15341300240 its reverse (4200314351), we get a palindrome (19541614591).

The spelling of 15341300240 in words is "fifteen billion, three hundred forty-one million, three hundred thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 89 98 112 140 178 196 245 280 356 392 445 490 560 623 712 784 890 980 1246 1424 1780 1960 2492 3115 3560 3920 4361 4984 6230 7120 8722 9968 12460 17444 21805 24920 34888 43610 43973 49840 69776 87220 87946 174440 175892 219865 307811 348880 351784 439730 615622 703568 879460 1231244 1539055 1758920 2154677 2462488 3078110 3517840 3913597 4309354 4924976 6156220 7827194 8618708 10773385 12312440 15654388 17237416 19567985 21546770 24624880 27395179 31308776 34474832 39135970 43093540 54790358 62617552 78271940 86187080 109580716 136975895 156543880 172374160 191766253 219161432 273951790 313087760 383532506 438322864 547903580 767065012 958831265 1095807160 1534130024 1917662530 2191614320 3068260048 3835325060 7670650120 15341300240