Search a number
-
+
2140596480 = 283511217271
BaseRepresentation
bin111111110010110…
…1110100100000000
312112011220120100010
41333211232210000
513340443041410
6552224224520
7104021525031
oct17745564400
95464816303
102140596480
119a9346900
124b8a6b140
13281633049
14164416a88
15c7dd5c20
hex7f96e900

2140596480 has 432 divisors, whose sum is σ = 7985924352. Its totient is φ = 486604800.

The previous prime is 2140596473. The next prime is 2140596503. The reversal of 2140596480 is 846950412.

2140596480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 7898745 + ... + 7899015.

It is an arithmetic number, because the mean of its divisors is an integer number (18485936).

Almost surely, 22140596480 is an apocalyptic number.

2140596480 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 2140596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3992962176).

2140596480 is an abundant number, since it is smaller than the sum of its proper divisors (5845327872).

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

2140596480 is a wasteful number, since it uses less digits than its factorization.

2140596480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2140596480 is about 46266.5805955011. The cubic root of 2140596480 is about 1288.7784602620.

The spelling of 2140596480 in words is "two billion, one hundred forty million, five hundred ninety-six thousand, four hundred eighty".