Search a number
-
+
2306006560 = 2551113100787
BaseRepresentation
bin1000100101110010…
…1101111000100000
312221201011021022101
42021130231320200
514210314202220
61020453420144
7111100506124
oct21134557040
95851137271
102306006560
11a83753950
1254433a654
132a9999130
1417c393584
15d76ab30a
hex8972de20

2306006560 has 96 divisors (see below), whose sum is σ = 6400441152. Its totient is φ = 774036480.

The previous prime is 2306006533. The next prime is 2306006567. The reversal of 2306006560 is 656006032.

It is not an unprimeable number, because it can be changed into a prime (2306006567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27514 + ... + 73273.

It is an arithmetic number, because the mean of its divisors is an integer number (66671262).

Almost surely, 22306006560 is an apocalyptic number.

2306006560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2306006560 is an abundant number, since it is smaller than the sum of its proper divisors (4094434592).

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

2306006560 is a wasteful number, since it uses less digits than its factorization.

2306006560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100826 (or 100818 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 2306006560 is about 48020.8971178174. The cubic root of 2306006560 is about 1321.1542093193.

The spelling of 2306006560 in words is "two billion, three hundred six million, six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 176 208 220 260 286 352 416 440 520 572 715 880 1040 1144 1430 1760 2080 2288 2860 4576 5720 11440 22880 100787 201574 403148 503935 806296 1007870 1108657 1310231 1612592 2015740 2217314 2620462 3225184 4031480 4434628 5240924 5543285 6551155 8062960 8869256 10481848 11086570 13102310 14412541 16125920 17738512 20963696 22173140 26204620 28825082 35477024 41927392 44346280 52409240 57650164 72062705 88692560 104818480 115300328 144125410 177385120 209636960 230600656 288250820 461201312 576501640 1153003280 2306006560