Search a number
-
+
2680194528 = 253311231827
BaseRepresentation
bin1001111111000000…
…1000010111100000
320220210020222201000
42133300020113200
520442112211103
61121541512000
7123263164134
oct23760102740
96823228630
102680194528
111155999900
12629712600
13339370a2b
141b5d593c4
1510a471aa3
hex9fc085e0

2680194528 has 288 divisors, whose sum is σ = 8880399360. Its totient is φ = 785030400.

The previous prime is 2680194469. The next prime is 2680194547. The reversal of 2680194528 is 8254910862.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×26801945282 = 14366885415842285568, which contains 22 as substring.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3240451 + ... + 3241277.

It is an arithmetic number, because the mean of its divisors is an integer number (30834720).

Almost surely, 22680194528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2680194528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440199680).

2680194528 is an abundant number, since it is smaller than the sum of its proper divisors (6200204832).

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

2680194528 is a wasteful number, since it uses less digits than its factorization.

2680194528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2680194528 is about 51770.5952061593. The cubic root of 2680194528 is about 1389.0635184067.

The spelling of 2680194528 in words is "two billion, six hundred eighty million, one hundred ninety-four thousand, five hundred twenty-eight".