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2005471130 = 2513174122133
BaseRepresentation
bin111011110001001…
…0000111110011010
312011202122111012112
41313202100332122
513101400034010
6531000112322
7100461136415
oct16742207632
95152574175
102005471130
1193a044163
1247b7656a2
1325c641710
141504c0b7c
15bb0e3a05
hex77890f9a

2005471130 has 64 divisors (see below), whose sum is σ = 4216792608. Its totient is φ = 679895040.

The previous prime is 2005471123. The next prime is 2005471163. The reversal of 2005471130 is 311745002.

It can be written as a sum of positive squares in 16 ways, for example, as 491401 + 2004979729 = 701^2 + 44777^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2005471096 and 2005471105.

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 31 ways as a sum of consecutive naturals, for example, 79544 + ... + 101676.

Almost surely, 22005471130 is an apocalyptic number.

2005471130 is an abundant number, since it is smaller than the sum of its proper divisors (2211321478).

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

2005471130 is a wasteful number, since it uses less digits than its factorization.

2005471130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22211.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 2005471130 is about 44782.4868670778. The cubic root of 2005471130 is about 1261.0688691944.

The spelling of 2005471130 in words is "two billion, five million, four hundred seventy-one thousand, one hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 41 65 82 85 130 170 205 221 410 442 533 697 1066 1105 1394 2210 2665 3485 5330 6970 9061 18122 22133 44266 45305 90610 110665 221330 287729 376261 575458 752522 907453 1438645 1814906 1881305 2877290 3762610 4537265 4891393 9074530 9782786 11796889 15426701 23593778 24456965 30853402 48913930 58984445 77133505 117968890 154267010 200547113 401094226 1002735565 2005471130