Search a number
-
+
15336647340 = 2235793738971
BaseRepresentation
bin11100100100010001…
…01010101010101100
31110120211121102000120
432102020222222230
5222402140203330
611013501324540
71052025231360
oct162210525254
943524542016
1015336647340
116560157163
122b80266750
1315a5508671
14a56c172a0
155eb661c10
hex39222aaac

15336647340 has 96 divisors (see below), whose sum is σ = 49130909184. Its totient is φ = 3501688320.

The previous prime is 15336647323. The next prime is 15336647401. The reversal of 15336647340 is 4374663351.

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 = 15336647292 and 15336647301.

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, 374055 + ... + 413025.

It is an arithmetic number, because the mean of its divisors is an integer number (511780304).

Almost surely, 215336647340 is an apocalyptic number.

15336647340 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 15336647340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24565454592).

15336647340 is an abundant number, since it is smaller than the sum of its proper divisors (33794261844).

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

15336647340 is a wasteful number, since it uses less digits than its factorization.

15336647340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39927 (or 39925 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

The spelling of 15336647340 in words is "fifteen billion, three hundred thirty-six million, six hundred forty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 937 1874 2811 3748 4685 5622 6559 9370 11244 13118 14055 18740 19677 26236 28110 32795 38971 39354 56220 65590 77942 78708 98385 116913 131180 155884 194855 196770 233826 272797 389710 393540 467652 545594 584565 779420 818391 1091188 1169130 1363985 1636782 2338260 2727970 3273564 4091955 5455940 8183910 16367820 36515827 73031654 109547481 146063308 182579135 219094962 255610789 365158270 438189924 511221578 547737405 730316540 766832367 1022443156 1095474810 1278053945 1533664734 2190949620 2556107890 3067329468 3834161835 5112215780 7668323670 15336647340