[go: up one dir, main page]

Search a number
-
+
2005450320 = 243537225839
BaseRepresentation
bin111011110001000…
…1011111001010000
312011202121102122210
41313202023321100
513101343402240
6530555432120
7100461021636
oct16742137120
95152542583
102005450320
1193a02a565
1247b755640
1325c6350c3
141504b7356
15bb0dc780
hex7788be50

2005450320 has 80 divisors (see below), whose sum is σ = 6384948480. Its totient is φ = 520330752.

The previous prime is 2005450319. The next prime is 2005450331. The reversal of 2005450320 is 230545002.

2005450320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104040 + ... + 121799.

It is an arithmetic number, because the mean of its divisors is an integer number (79811856).

Almost surely, 22005450320 is an apocalyptic number.

2005450320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005450320 is an abundant number, since it is smaller than the sum of its proper divisors (4379498160).

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

2005450320 is a wasteful number, since it uses less digits than its factorization.

2005450320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225892 (or 225886 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 2005450320 is about 44782.2545211828. The cubic root of 2005450320 is about 1261.0645073044.

Adding to 2005450320 its reverse (230545002), we get a palindrome (2235995322).

The spelling of 2005450320 in words is "two billion, five million, four hundred fifty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 225839 451678 677517 903356 1129195 1355034 1806712 2258390 2710068 3387585 3613424 4516780 5420136 6775170 8356043 9033560 10840272 13550340 16712086 18067120 25068129 27100680 33424172 41780215 50136258 54201360 66848344 83560430 100272516 125340645 133696688 167120860 200545032 250681290 334241720 401090064 501362580 668483440 1002725160 2005450320