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10530455040 = 29325765293
BaseRepresentation
bin10011100111010100…
…11111111000000000
31000011212220112122100
421303222133320000
5133031244030130
64500532110400
7521645251050
oct116352377000
930155815570
1010530455040
114514192806
12205a765400
13cba8766b1
1471c7a5560
1541973ec60
hex273a9fe00

10530455040 has 240 divisors, whose sum is σ = 41680555488. Its totient is φ = 2406924288.

The previous prime is 10530455003. The next prime is 10530455077. The reversal of 10530455040 is 4055403501.

10530455040 is a `hidden beast` number, since 1 + 0 + 530 + 45 + 50 + 40 = 666.

10530455040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10530455003) and next prime (10530455077).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×105304550402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10530454995 and 10530455013.

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 23 ways as a sum of consecutive naturals, for example, 128634 + ... + 193926.

Almost surely, 210530455040 is an apocalyptic number.

10530455040 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 10530455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20840277744).

10530455040 is an abundant number, since it is smaller than the sum of its proper divisors (31150100448).

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

10530455040 is an equidigital number, since it uses as much as digits as its factorization.

10530455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65329 (or 65310 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 10530455040 its reverse (4055403501), we get a palindrome (14585858541).

The spelling of 10530455040 in words is "ten billion, five hundred thirty million, four hundred fifty-five thousand, forty".