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2164761130 = 257174633929
BaseRepresentation
bin1000000100000111…
…1010001000101010
312120212101021000011
42001001322020222
513413134324010
6554450202134
7104434110640
oct20101721052
95525337004
102164761130
11a10a51094
12504b8334a
13286643c5c
14167707190
15ca0aaa8a
hex8107a22a

2164761130 has 64 divisors (see below), whose sum is σ = 4726563840. Its totient is φ = 696858624.

The previous prime is 2164761061. The next prime is 2164761139. The reversal of 2164761130 is 311674612.

It is a junction number, because it is equal to n+sod(n) for n = 2164761092 and 2164761101.

It is not an unprimeable number, because it can be changed into a prime (2164761139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549006 + ... + 552934.

It is an arithmetic number, because the mean of its divisors is an integer number (73852560).

Almost surely, 22164761130 is an apocalyptic number.

2164761130 is an abundant number, since it is smaller than the sum of its proper divisors (2561802710).

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

2164761130 is a wasteful number, since it uses less digits than its factorization.

2164761130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4423.

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 2164761130 is about 46526.9935628770. The cubic root of 2164761130 is about 1293.6098895932.

The spelling of 2164761130 in words is "two billion, one hundred sixty-four million, seven hundred sixty-one thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 17 34 35 70 85 119 170 238 463 595 926 1190 2315 3241 3929 4630 6482 7858 7871 15742 16205 19645 27503 32410 39290 39355 55006 55097 66793 78710 110194 133586 137515 275030 275485 333965 467551 550970 667930 935102 1819127 2337755 3638254 4675510 9095635 12733889 18191270 25467778 30925159 61850318 63669445 127338890 154625795 216476113 309251590 432952226 1082380565 2164761130