Search a number
-
+
2089838880 = 25365192341
BaseRepresentation
bin111110010010000…
…0110100100100000
312101122101211000000
41330210012210200
513234444321010
6543212300000
7102534223503
oct17444064440
95348354000
102089838880
11982728978
124a3a71600
13273c70b6c
1415b7a313a
15c370b7c0
hex7c906920

2089838880 has 672 divisors, whose sum is σ = 8329184640. Its totient is φ = 492687360.

The previous prime is 2089838831. The next prime is 2089838893. The reversal of 2089838880 is 888389802.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 50971660 + ... + 50971700.

It is an arithmetic number, because the mean of its divisors is an integer number (12394620).

Almost surely, 22089838880 is an apocalyptic number.

2089838880 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 2089838880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164592320).

2089838880 is an abundant number, since it is smaller than the sum of its proper divisors (6239345760).

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

2089838880 is a wasteful number, since it uses less digits than its factorization.

2089838880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The square root of 2089838880 is about 45714.7556047279. The cubic root of 2089838880 is about 1278.5104090987.

The spelling of 2089838880 in words is "two billion, eighty-nine million, eight hundred thirty-eight thousand, eight hundred eighty".