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10003003240 = 235250075081
BaseRepresentation
bin10010101000011100…
…11011011101101000
3221211010102012210111
421110032123131220
5130441232100430
64332331024104
7502612060516
oct112416333550
927733365714
1010003003240
11427348642a
121b31b9b034
13c354cc439
146ac7054b6
153d82a2c2a
hex25439b768

10003003240 has 16 divisors (see below), whose sum is σ = 22506757380. Its totient is φ = 4001201280.

The previous prime is 10003003223. The next prime is 10003003247. The reversal of 10003003240 is 4230030001.

10003003240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9780814404 + 222188836 = 98898^2 + 14906^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10003003240.

It is not an unprimeable number, because it can be changed into a prime (10003003247) 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 3 ways as a sum of consecutive naturals, for example, 125037501 + ... + 125037580.

Almost surely, 210003003240 is an apocalyptic number.

10003003240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10003003240 is an abundant number, since it is smaller than the sum of its proper divisors (12503754140).

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

10003003240 is a wasteful number, since it uses less digits than its factorization.

10003003240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250075092 (or 250075088 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 10003003240 its reverse (4230030001), we get a palindrome (14233033241).

The spelling of 10003003240 in words is "ten billion, three million, three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 250075081 500150162 1000300324 1250375405 2000600648 2500750810 5001501620 10003003240