Search a number
-
+
2095213120 = 2657111331211
BaseRepresentation
bin111110011100010…
…0110101001000000
312102000111212001221
41330320212221000
513242333304440
6543523404424
7102631006030
oct17470465100
95360455057
102095213120
119857696a0
124a5823714
132751030a0
1415c3a18c0
15c3e1dd4a
hex7ce26a40

2095213120 has 448 divisors, whose sum is σ = 6947684352. Its totient is φ = 580608000.

The previous prime is 2095213111. The next prime is 2095213139. The reversal of 2095213120 is 213125902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9929815 + ... + 9930025.

It is an arithmetic number, because the mean of its divisors is an integer number (15508224).

Almost surely, 22095213120 is an apocalyptic number.

2095213120 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 2095213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473842176).

2095213120 is an abundant number, since it is smaller than the sum of its proper divisors (4852471232).

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

2095213120 is a wasteful number, since it uses less digits than its factorization.

2095213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 2095213120 is about 45773.4980092193. The cubic root of 2095213120 is about 1279.6054122264.

The spelling of 2095213120 in words is "two billion, ninety-five million, two hundred thirteen thousand, one hundred twenty".