Search a number
-
+
5120466960 = 243576745491
BaseRepresentation
bin1001100010011010…
…00010000000010000
3111012212001200011110
410301031002000100
540441314420320
62204033213320
7240614152050
oct46115020020
914185050143
105120466960
112198408684
12baaa01240
13637aba20b
1436809d560
151ee8005e0
hex131342010

5120466960 has 160 divisors (see below), whose sum is σ = 18412250112. Its totient is φ = 1152898560.

The previous prime is 5120466947. The next prime is 5120467049. The reversal of 5120466960 is 696640215.

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, 89815 + ... + 135305.

Almost surely, 25120466960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5120466960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9206125056).

5120466960 is an abundant number, since it is smaller than the sum of its proper divisors (13291783152).

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

5120466960 is a wasteful number, since it uses less digits than its factorization.

5120466960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45581 (or 45575 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 5120466960 is about 71557.4381877943. The cubic root of 5120466960 is about 1723.6001480797.

The spelling of 5120466960 in words is "five billion, one hundred twenty million, four hundred sixty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 67 70 80 84 105 112 120 134 140 168 201 210 240 268 280 335 336 402 420 469 536 560 670 804 840 938 1005 1072 1340 1407 1608 1680 1876 2010 2345 2680 2814 3216 3752 4020 4690 5360 5628 7035 7504 8040 9380 11256 14070 16080 18760 22512 28140 37520 45491 56280 90982 112560 136473 181964 227455 272946 318437 363928 454910 545892 636874 682365 727856 909820 955311 1091784 1273748 1364730 1592185 1819640 1910622 2183568 2547496 2729460 3047897 3184370 3639280 3821244 4776555 5094992 5458920 6095794 6368740 7642488 9143691 9553110 10917840 12191588 12737480 15239485 15284976 18287382 19106220 21335279 24383176 25474960 30478970 36574764 38212440 42670558 45718455 48766352 60957940 64005837 73149528 76424880 85341116 91436910 106676395 121915880 128011674 146299056 170682232 182873820 213352790 243831760 256023348 320029185 341364464 365747640 426705580 512046696 640058370 731495280 853411160 1024093392 1280116740 1706822320 2560233480 5120466960