Search a number
-
+
3260405040 = 243529479967
BaseRepresentation
bin1100001001010101…
…1101010100110000
322102020000201220020
43002111131110300
523134130430130
61255305443440
7143536662024
oct30225352460
98366021806
103260405040
111423460622
1276baa0580
133cc62ac69
1422d030384
15141380e10
hexc255d530

3260405040 has 160 divisors (see below), whose sum is σ = 10679316480. Its totient is φ = 821517312.

The previous prime is 3260405033. The next prime is 3260405063. The reversal of 3260405040 is 405040623.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3260405040.

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, 322137 + ... + 332103.

It is an arithmetic number, because the mean of its divisors is an integer number (66745728).

Almost surely, 23260405040 is an apocalyptic number.

3260405040 is a gapful number since it is divisible by the number (30) 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 3260405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5339658240).

3260405040 is an abundant number, since it is smaller than the sum of its proper divisors (7418911440).

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

3260405040 is a wasteful number, since it uses less digits than its factorization.

3260405040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10059 (or 10053 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3260405040 is about 57099.9565674091. The cubic root of 3260405040 is about 1482.8271138273.

Adding to 3260405040 its reverse (405040623), we get a palindrome (3665445663).

The spelling of 3260405040 in words is "three billion, two hundred sixty million, four hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 47 48 58 60 80 87 94 116 120 141 145 174 188 232 235 240 282 290 348 376 435 464 470 564 580 696 705 752 870 940 1128 1160 1363 1392 1410 1740 1880 2256 2320 2726 2820 3480 3760 4089 5452 5640 6815 6960 8178 9967 10904 11280 13630 16356 19934 20445 21808 27260 29901 32712 39868 40890 49835 54520 59802 65424 79736 81780 99670 109040 119604 149505 159472 163560 199340 239208 289043 299010 327120 398680 468449 478416 578086 598020 797360 867129 936898 1156172 1196040 1405347 1445215 1734258 1873796 2312344 2342245 2392080 2810694 2890430 3468516 3747592 4335645 4624688 4684490 5621388 5780860 6937032 7026735 7495184 8671290 9368980 11242776 11561720 13585021 13874064 14053470 17342580 18737960 22485552 23123440 27170042 28106940 34685160 37475920 40755063 54340084 56213880 67925105 69370320 81510126 108680168 112427760 135850210 163020252 203775315 217360336 271700420 326040504 407550630 543400840 652081008 815101260 1086801680 1630202520 3260405040