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1206145728 = 26342971113
BaseRepresentation
bin100011111100100…
…0101001011000000
310010001120112220000
41013321011023000
54432233130403
6315403520000
741614032564
oct10771051300
93101515800
101206145728
11569924157
12297b29000
13162b668c8
14b628d6a4
1570d517a3
hex47e452c0

1206145728 has 280 divisors, whose sum is σ = 3783970080. Its totient is φ = 379330560.

The previous prime is 1206145727. The next prime is 1206145729. The reversal of 1206145728 is 8275416021.

1206145728 is a `hidden beast` number, since 1 + 20 + 61 + 4 + 572 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1206145727) and next prime (1206145729).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1206145692 and 1206145701.

It is not an unprimeable number, because it can be changed into a prime (1206145723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10673800 + ... + 10673912.

Almost surely, 21206145728 is an apocalyptic number.

1206145728 is a gapful number since it is divisible by the number (18) 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 1206145728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891985040).

1206145728 is an abundant number, since it is smaller than the sum of its proper divisors (2577824352).

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

1206145728 is a wasteful number, since it uses less digits than its factorization.

1206145728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1206145728 is about 34729.6088086232. The cubic root of 1206145728 is about 1064.4695950397.

The spelling of 1206145728 in words is "one billion, two hundred six million, one hundred forty-five thousand, seven hundred twenty-eight".