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4130435000 = 2354826087
BaseRepresentation
bin1111011000110001…
…0110111110111000
3101122212010211122002
43312030112332320
531424342410000
61521505320132
7204233055356
oct36614267670
911585124562
104130435000
11182a582a4a
12973336048
1350a9601a3
142b27c87d6
1519293c8d5
hexf6316fb8

4130435000 has 40 divisors (see below), whose sum is σ = 9677620920. Its totient is φ = 1652172000.

The previous prime is 4130434981. The next prime is 4130435003. The reversal of 4130435000 is 5340314.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130435003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 408044 + ... + 418043.

It is an arithmetic number, because the mean of its divisors is an integer number (241940523).

Almost surely, 24130435000 is an apocalyptic number.

4130435000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4130435000 is an abundant number, since it is smaller than the sum of its proper divisors (5547185920).

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

4130435000 is an equidigital number, since it uses as much as digits as its factorization.

4130435000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826113 (or 826094 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 4130435000 is about 64268.4603829903. The cubic root of 4130435000 is about 1604.4712174534.

Adding to 4130435000 its reverse (5340314), we get a palindrome (4135775314).

The spelling of 4130435000 in words is "four billion, one hundred thirty million, four hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 826087 1652174 3304348 4130435 6608696 8260870 16521740 20652175 33043480 41304350 82608700 103260875 165217400 206521750 413043500 516304375 826087000 1032608750 2065217500 4130435000