Search a number
-
+
10530453600 = 253552192851
BaseRepresentation
bin10011100111010100…
…11111100001100000
31000011212220110200000
421303222133201200
5133031244003400
64500532100000
7521645243622
oct116352374140
930155813600
1010530453600
114514191717
12205a764600
13cba875b44
1471c7a4c12
1541973e600
hex273a9f860

10530453600 has 432 divisors, whose sum is σ = 40549279680. Its totient is φ = 2659392000.

The previous prime is 10530453587. The next prime is 10530453611. The reversal of 10530453600 is 635403501.

10530453600 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 0 + 4 + 53 + 600 = 666.

10530453600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×105304536002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 71 ways as a sum of consecutive naturals, for example, 3692175 + ... + 3695025.

Almost surely, 210530453600 is an apocalyptic number.

10530453600 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 10530453600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20274639840).

10530453600 is an abundant number, since it is smaller than the sum of its proper divisors (30018826080).

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

10530453600 is a wasteful number, since it uses less digits than its factorization.

10530453600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 10530453600 in words is "ten billion, five hundred thirty million, four hundred fifty-three thousand, six hundred".