Search a number
-
+
2074069800 = 23345211103113
BaseRepresentation
bin111101110011111…
…1100101100101000
312100112201122220000
41323213330230220
513221430213200
6541450303000
7102253205505
oct17347745450
95315648800
102074069800
11974838380
1249a727a60
1327090c44a
1415965a4ac
15c2144300
hex7b9fcb28

2074069800 has 480 divisors, whose sum is σ = 8004934080. Its totient is φ = 493516800.

The previous prime is 2074069799. The next prime is 2074069841. The reversal of 2074069800 is 89604702.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18354544 + ... + 18354656.

It is an arithmetic number, because the mean of its divisors is an integer number (16676946).

Almost surely, 22074069800 is an apocalyptic number.

2074069800 is a gapful number since it is divisible by the number (20) 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 2074069800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4002467040).

2074069800 is an abundant number, since it is smaller than the sum of its proper divisors (5930864280).

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

2074069800 is a wasteful number, since it uses less digits than its factorization.

2074069800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2074069800 is about 45541.9564797122. The cubic root of 2074069800 is about 1275.2865791800.

The spelling of 2074069800 in words is "two billion, seventy-four million, sixty-nine thousand, eight hundred".