Search a number
-
+
2070316800 = 28335211981
BaseRepresentation
bin111101101100110…
…1000011100000000
312100021122222202000
41323121220130000
513220000114200
6541234024000
7102206255016
oct17331503400
95307588660
102070316800
11972704722
12499418000
1326cbc7136
14158d608b6
15c1b52300
hex7b668700

2070316800 has 216 divisors, whose sum is σ = 7592274480. Its totient is φ = 552038400.

The previous prime is 2070316783. The next prime is 2070316813. The reversal of 2070316800 is 86130702.

It is a tau number, because it is divible by the number of its divisors (216).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166810 + ... + 178790.

Almost surely, 22070316800 is an apocalyptic number.

2070316800 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 2070316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796137240).

2070316800 is an abundant number, since it is smaller than the sum of its proper divisors (5521957680).

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

2070316800 is a wasteful number, since it uses less digits than its factorization.

2070316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12016 (or 11991 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2070316800 is about 45500.7340600127. The cubic root of 2070316800 is about 1274.5169104091.

The spelling of 2070316800 in words is "two billion, seventy million, three hundred sixteen thousand, eight hundred".