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2003140400 = 24525007851
BaseRepresentation
bin111011101100101…
…0111111100110000
312011121021002001012
41313121113330300
513100300443100
6530434130052
7100432261322
oct16731277460
95147232035
102003140400
119387a2038
1247aa20928
1325c0068a1
14150075612
15bacd3135
hex77657f30

2003140400 has 30 divisors (see below), whose sum is σ = 4812545772. Its totient is φ = 801256000.

The previous prime is 2003140397. The next prime is 2003140409. The reversal of 2003140400 is 40413002.

It is a super-2 number, since 2×20031404002 = 8025142924224320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2003140409) 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 5 ways as a sum of consecutive naturals, for example, 2503526 + ... + 2504325.

Almost surely, 22003140400 is an apocalyptic number.

2003140400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003140400 is an abundant number, since it is smaller than the sum of its proper divisors (2809405372).

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

2003140400 is a wasteful number, since it uses less digits than its factorization.

2003140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007869 (or 5007858 counting only the distinct ones).

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

The square root of 2003140400 is about 44756.4565174680. The cubic root of 2003140400 is about 1260.5801477209.

Adding to 2003140400 its reverse (40413002), we get a palindrome (2043553402).

The spelling of 2003140400 in words is "two billion, three million, one hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5007851 10015702 20031404 25039255 40062808 50078510 80125616 100157020 125196275 200314040 250392550 400628080 500785100 1001570200 2003140400