Search a number
-
+
5115817560 = 233573124291
BaseRepresentation
bin1001100001110110…
…10010111001011000
3111012112022110101110
410300323102321120
540434122130220
62203345420320
7240526506000
oct46073227130
914175273343
105115817560
1121958224a7
12ba933a6a0
13636b4cba9
1436760d000
151ee1d2be0
hex130ed2e58

5115817560 has 128 divisors (see below), whose sum is σ = 17898048000. Its totient is φ = 1169320320.

The previous prime is 5115817519. The next prime is 5115817571. The reversal of 5115817560 is 657185115.

It is a congruent number.

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, 20986 + ... + 103305.

It is an arithmetic number, because the mean of its divisors is an integer number (139828500).

Almost surely, 25115817560 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 5115817560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8949024000).

5115817560 is an abundant number, since it is smaller than the sum of its proper divisors (12782230440).

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

5115817560 is a wasteful number, since it uses less digits than its factorization.

5115817560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124326 (or 124308 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 39.

The square root of 5115817560 is about 71524.9436210893. The cubic root of 5115817560 is about 1723.0783119981.

The spelling of 5115817560 in words is "five billion, one hundred fifteen million, eight hundred seventeen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 343 392 420 490 588 686 735 840 980 1029 1176 1372 1470 1715 1960 2058 2744 2940 3430 4116 5145 5880 6860 8232 10290 13720 20580 41160 124291 248582 372873 497164 621455 745746 870037 994328 1242910 1491492 1740074 1864365 2485820 2610111 2982984 3480148 3728730 4350185 4971640 5220222 6090259 6960296 7457460 8700370 10440444 12180518 13050555 14914920 17400740 18270777 20880888 24361036 26101110 30451295 34801480 36541554 42631813 48722072 52202220 60902590 73083108 85263626 91353885 104404440 121805180 127895439 146166216 170527252 182707770 213159065 243610360 255790878 341054504 365415540 426318130 511581756 639477195 730831080 852636260 1023163512 1278954390 1705272520 2557908780 5115817560