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10003236540 = 223511471671931
BaseRepresentation
bin10010101000011110…
…10100011010111100
3221211010212001211020
421110033110122330
5130441312032130
64332340024140
7502614051633
oct112417243274
927733761736
1010003236540
114273625740
121b32092050
13c3558169b
146ac76651a
153d82ebe10
hex2543d46bc

10003236540 has 192 divisors, whose sum is σ = 31408570368. Its totient is φ = 2357996800.

The previous prime is 10003236511. The next prime is 10003236553. The reversal of 10003236540 is 4563230001.

It is a happy number.

10003236540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10003236540.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5179375 + ... + 5181305.

It is an arithmetic number, because the mean of its divisors is an integer number (163586304).

Almost surely, 210003236540 is an apocalyptic number.

10003236540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10003236540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15704285184).

10003236540 is an abundant number, since it is smaller than the sum of its proper divisors (21405333828).

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

10003236540 is a wasteful number, since it uses less digits than its factorization.

10003236540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 10003236540 its reverse (4563230001), we get a palindrome (14566466541).

The spelling of 10003236540 in words is "ten billion, three million, two hundred thirty-six thousand, five hundred forty".