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2604141260 = 2257217672333
BaseRepresentation
bin1001101100111000…
…0000101011001100
320201111011002020022
42123032000223030
520313130010020
61110223441312
7121350556400
oct23316005314
96644132208
102604141260
111116a73966
12608156238
13326692bb6
141a9bdd100
1510394c625
hex9b380acc

2604141260 has 144 divisors (see below), whose sum is σ = 6839217504. Its totient is φ = 827430912.

The previous prime is 2604141257. The next prime is 2604141307. The reversal of 2604141260 is 621414062.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1115054 + ... + 1117386.

It is an arithmetic number, because the mean of its divisors is an integer number (47494566).

Almost surely, 22604141260 is an apocalyptic number.

2604141260 is a gapful number since it is divisible by the number (20) 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 2604141260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419608752).

2604141260 is an abundant number, since it is smaller than the sum of its proper divisors (4235076244).

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

2604141260 is a wasteful number, since it uses less digits than its factorization.

2604141260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 2604141260 is about 51030.7873738981. The cubic root of 2604141260 is about 1375.7985461734.

The spelling of 2604141260 in words is "two billion, six hundred four million, one hundred forty-one thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 67 68 70 85 98 119 134 140 170 196 238 245 268 335 340 469 476 490 595 670 833 938 980 1139 1190 1340 1666 1876 2278 2333 2345 2380 3283 3332 4165 4556 4666 4690 5695 6566 7973 8330 9332 9380 11390 11665 13132 15946 16331 16415 16660 22780 23330 31892 32662 32830 39661 39865 46660 55811 65324 65660 79322 79730 81655 111622 114317 156311 158644 159460 163310 198305 223244 228634 277627 279055 312622 326620 396610 457268 555254 558110 571585 625244 781555 793220 1094177 1110508 1116220 1143170 1388135 1563110 1943389 2188354 2286340 2657287 2776270 3126220 3886778 4376708 5314574 5470885 5552540 7659239 7773556 9716945 10629148 10941770 13286435 15318478 18601009 19433890 21883540 26572870 30636956 37202018 38296195 38867780 53145740 74404036 76592390 93005045 130207063 153184780 186010090 260414126 372020180 520828252 651035315 1302070630 2604141260