Search a number
-
+
2089732480 = 275111719919
BaseRepresentation
bin111110010001110…
…1100100110000000
312101122012102001021
41330203230212000
513234432414410
6543210115224
7102533301343
oct17443544600
95348172037
102089732480
11982665a40
124a3a1bb14
13273c345c4
1415b77645a
15c36d9eda
hex7c8ec980

2089732480 has 256 divisors, whose sum is σ = 6080832000. Its totient is φ = 676823040.

The previous prime is 2089732451. The next prime is 2089732481. The reversal of 2089732480 is 842379802.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2089732481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2273461 + ... + 2274379.

It is an arithmetic number, because the mean of its divisors is an integer number (23753250).

Almost surely, 22089732480 is an apocalyptic number.

2089732480 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 2089732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040416000).

2089732480 is an abundant number, since it is smaller than the sum of its proper divisors (3991099520).

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

2089732480 is a wasteful number, since it uses less digits than its factorization.

2089732480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 2089732480 is about 45713.5918518771. The cubic root of 2089732480 is about 1278.4887111236.

The spelling of 2089732480 in words is "two billion, eighty-nine million, seven hundred thirty-two thousand, four hundred eighty".