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1240205000 = 2354248041
BaseRepresentation
bin100100111101100…
…0000011011001000
310012102122221102112
41021323000123020
510014443030000
6323021521452
742506366006
oct11173003310
93172587375
101240205000
11587077411
122a7413288
13169c30418
14ba9d7a76
1573d2d235
hex49ec06c8

1240205000 has 40 divisors (see below), whose sum is σ = 2905812030. Its totient is φ = 496080000.

The previous prime is 1240204991. The next prime is 1240205009. The reversal of 1240205000 is 5020421.

It is an interprime number because it is at equal distance from previous prime (1240204991) and next prime (1240205009).

It can be written as a sum of positive squares in 5 ways, for example, as 198077476 + 1042127524 = 14074^2 + 32282^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1240205009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 119021 + ... + 129020.

Almost surely, 21240205000 is an apocalyptic number.

1240205000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1240205000 is an abundant number, since it is smaller than the sum of its proper divisors (1665607030).

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

1240205000 is an equidigital number, since it uses as much as digits as its factorization.

1240205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248067 (or 248048 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 1240205000 is about 35216.5444074231. The cubic root of 1240205000 is about 1074.3962717857.

Adding to 1240205000 its reverse (5020421), we get a palindrome (1245225421).

The spelling of 1240205000 in words is "one billion, two hundred forty million, two hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 248041 496082 992164 1240205 1984328 2480410 4960820 6201025 9921640 12402050 24804100 31005125 49608200 62010250 124020500 155025625 248041000 310051250 620102500 1240205000