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2005543134 = 2327431971879
BaseRepresentation
bin111011110001010…
…0010100011011110
312011202210010222100
41313202202203132
513101404340014
6531001425530
7100461556350
oct16742424336
95152703870
102005543134
1193a093271
1247b79b2a6
1325c66841a
141504dd0d0
15bb10a009
hex778a28de

2005543134 has 96 divisors (see below), whose sum is σ = 5110110720. Its totient is φ = 556549056.

The previous prime is 2005543123. The next prime is 2005543147. The reversal of 2005543134 is 4313455002.

It is a junction number, because it is equal to n+sod(n) for n = 2005543098 and 2005543107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1066407 + ... + 1068285.

It is an arithmetic number, because the mean of its divisors is an integer number (53230320).

Almost surely, 22005543134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005543134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555055360).

2005543134 is an abundant number, since it is smaller than the sum of its proper divisors (3104567586).

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

2005543134 is a wasteful number, since it uses less digits than its factorization.

2005543134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2005543134 is about 44783.2907902043. The cubic root of 2005543134 is about 1261.0839613948.

Adding to 2005543134 its reverse (4313455002), we get a palindrome (6318998136).

The spelling of 2005543134 in words is "two billion, five million, five hundred forty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 197 258 301 387 394 591 602 774 903 1182 1379 1773 1806 1879 2709 2758 3546 3758 4137 5418 5637 8274 8471 11274 12411 13153 16911 16942 24822 25413 26306 33822 39459 50826 59297 76239 78918 80797 118377 118594 152478 161594 177891 236754 242391 355782 370163 484782 533673 565579 727173 740326 1067346 1110489 1131158 1454346 1696737 2220978 2591141 3331467 3393474 5090211 5182282 6662934 7773423 10180422 15546846 15917009 23320269 31834018 46640538 47751027 95502054 111419063 143253081 222838126 286506162 334257189 668514378 1002771567 2005543134