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1232004020 = 225134738477
BaseRepresentation
bin100100101101110…
…1110001110110100
310011212020021210112
41021123232032310
510010343112040
6322130042152
742346601312
oct11133561664
93155207715
101232004020
11582485945
122a4719358
1316831b680
14b98a10b2
157325d365
hex496ee3b4

1232004020 has 24 divisors (see below), whose sum is σ = 2786225064. Its totient is φ = 454893696.

The previous prime is 1232004019. The next prime is 1232004029. The reversal of 1232004020 is 204002321.

It can be written as a sum of positive squares in 4 ways, for example, as 67010596 + 1164993424 = 8186^2 + 34132^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1232003986 and 1232004004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1232004029) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2368979 + ... + 2369498.

It is an arithmetic number, because the mean of its divisors is an integer number (116092711).

Almost surely, 21232004020 is an apocalyptic number.

1232004020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1232004020 is an abundant number, since it is smaller than the sum of its proper divisors (1554221044).

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

1232004020 is a wasteful number, since it uses less digits than its factorization.

1232004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4738499 (or 4738497 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1232004020 is about 35099.9148147114. The cubic root of 1232004020 is about 1072.0228481894.

Adding to 1232004020 its reverse (204002321), we get a palindrome (1436006341).

The spelling of 1232004020 in words is "one billion, two hundred thirty-two million, four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 4738477 9476954 18953908 23692385 47384770 61600201 94769540 123200402 246400804 308001005 616002010 1232004020