Search a number
-
+
2801995140 = 2235731307701
BaseRepresentation
bin1010011100000011…
…0000110110000100
321020021110002201210
42213000300312010
521214302321030
61142012251420
7126302365020
oct24700606604
97207402653
102801995140
11120872046a
12662470b70
133586783b9
141c81c3380
15115ed0bb0
hexa7030d84

2801995140 has 192 divisors, whose sum is σ = 9299017728. Its totient is φ = 616896000.

The previous prime is 2801995129. The next prime is 2801995247. The reversal of 2801995140 is 415991082.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 3996790 + ... + 3997490.

It is an arithmetic number, because the mean of its divisors is an integer number (48432384).

Almost surely, 22801995140 is an apocalyptic number.

2801995140 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 2801995140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4649508864).

2801995140 is an abundant number, since it is smaller than the sum of its proper divisors (6497022588).

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

2801995140 is a wasteful number, since it uses less digits than its factorization.

2801995140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 2801995140 is about 52933.8751651530. The cubic root of 2801995140 is about 1409.7944371117.

The spelling of 2801995140 in words is "two billion, eight hundred one million, nine hundred ninety-five thousand, one hundred forty".