Search a number
-
+
2139001488 = 2432132931241
BaseRepresentation
bin111111101111110…
…1001001010010000
312112001220112102100
41333133221022100
513340041021423
6552130120400
7104002132641
oct17737511220
95461815370
102139001488
119a8457528
124b8420100
132811c5070
1416411d6c8
15c7bbd343
hex7f7e9290

2139001488 has 360 divisors, whose sum is σ = 7059157560. Its totient is φ = 599961600.

The previous prime is 2139001481. The next prime is 2139001493. The reversal of 2139001488 is 8841009312.

It can be written as a sum of positive squares in 4 ways, for example, as 11209104 + 2127792384 = 3348^2 + 46128^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2139001481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52170748 + ... + 52170788.

It is an arithmetic number, because the mean of its divisors is an integer number (19608771).

Almost surely, 22139001488 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 2139001488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3529578780).

2139001488 is an abundant number, since it is smaller than the sum of its proper divisors (4920156072).

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

2139001488 is a wasteful number, since it uses less digits than its factorization.

2139001488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2139001488 is about 46249.3404061074. The cubic root of 2139001488 is about 1288.4582843803.

The spelling of 2139001488 in words is "two billion, one hundred thirty-nine million, one thousand, four hundred eighty-eight".