Search a number
-
+
1995988896 = 253211341127
BaseRepresentation
bin111011011111000…
…0101111110100000
312011002210202000200
41312332011332200
513041433121041
6530020545200
7100314424416
oct16676057640
95132722020
101995988896
11934758000
12478552200
1325a6a1725
1414d1332b6
15ba36e1b6
hex76f85fa0

1995988896 has 288 divisors, whose sum is σ = 6445910016. Its totient is φ = 585446400.

The previous prime is 1995988873. The next prime is 1995988901. The reversal of 1995988896 is 6988895991.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 15716385 + ... + 15716511.

It is an arithmetic number, because the mean of its divisors is an integer number (22381632).

Almost surely, 21995988896 is an apocalyptic number.

1995988896 is a gapful number since it is divisible by the number (16) 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 1995988896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222955008).

1995988896 is an abundant number, since it is smaller than the sum of its proper divisors (4449921120).

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

1995988896 is a wasteful number, since it uses less digits than its factorization.

1995988896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 184 counting only the distinct ones).

The product of its digits is 100776960, while the sum is 72.

The square root of 1995988896 is about 44676.4915363774. The cubic root of 1995988896 is about 1259.0782071280.

The spelling of 1995988896 in words is "one billion, nine hundred ninety-five million, nine hundred eighty-eight thousand, eight hundred ninety-six".