Search a number
-
+
2069701200 = 243352723911
BaseRepresentation
bin111101101011101…
…0010001001010000
312100020111201022000
41323113102021100
513214320414300
6541212514000
7102201112200
oct17327221120
95306451260
102069701200
11972324166
1249917b900
1326ca3cb88
14158c40400
15c1a7ec00
hex7b5d2250

2069701200 has 360 divisors, whose sum is σ = 8571504960. Its totient is φ = 472953600.

The previous prime is 2069701169. The next prime is 2069701201. The reversal of 2069701200 is 21079602.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2069701201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 527245 + ... + 531155.

It is an arithmetic number, because the mean of its divisors is an integer number (23809736).

Almost surely, 22069701200 is an apocalyptic number.

2069701200 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 2069701200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285752480).

2069701200 is an abundant number, since it is smaller than the sum of its proper divisors (6501803760).

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

2069701200 is a wasteful number, since it uses less digits than its factorization.

2069701200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2069701200 is about 45493.9688310440. The cubic root of 2069701200 is about 1274.3905738040.

The spelling of 2069701200 in words is "two billion, sixty-nine million, seven hundred one thousand, two hundred".