Search a number
-
+
10728318360 = 2335131682463
BaseRepresentation
bin10011111110111010…
…10010010110011000
31000200200020001002110
421333131102112120
5133432422141420
64532321032320
7526600126044
oct117735222630
930620201073
1010728318360
114605946411
1220b4a856a0
13101c863296
1473ab8d024
1542bcc5ee0
hex27f752598

10728318360 has 64 divisors (see below), whose sum is σ = 32430689280. Its totient is φ = 2839041920.

The previous prime is 10728318347. The next prime is 10728318383. The reversal of 10728318360 is 6381382701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325512 + ... + 356951.

It is an arithmetic number, because the mean of its divisors is an integer number (506729520).

Almost surely, 210728318360 is an apocalyptic number.

10728318360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10728318360 is an abundant number, since it is smaller than the sum of its proper divisors (21702370920).

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

10728318360 is a wasteful number, since it uses less digits than its factorization.

10728318360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682608 (or 682604 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 10728318360 in words is "ten billion, seven hundred twenty-eight million, three hundred eighteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1310 1572 1965 2620 3144 3930 5240 7860 15720 682463 1364926 2047389 2729852 3412315 4094778 5459704 6824630 8189556 10236945 13649260 16379112 20473890 27298520 40947780 81895560 89402653 178805306 268207959 357610612 447013265 536415918 715221224 894026530 1072831836 1341039795 1788053060 2145663672 2682079590 3576106120 5364159180 10728318360