Search a number
-
+
2143563840 = 263251171953
BaseRepresentation
bin111111111000100…
…0011000001000000
312112101111022210100
41333301003001000
513342223020330
6552412002400
7104055664155
oct17761030100
95471438710
102143563840
119aaa93270
124b9a60400
13282131892
1416498a22c
15c82c0060
hex7fc43040

2143563840 has 336 divisors, whose sum is σ = 8165079936. Its totient is φ = 511795200.

The previous prime is 2143563811. The next prime is 2143563899. The reversal of 2143563840 is 483653412.

2143563840 is a `hidden beast` number, since 2 + 14 + 3 + 5 + 638 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2143563795 and 2143563804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2248804 + ... + 2249756.

Almost surely, 22143563840 is an apocalyptic number.

2143563840 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 2143563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082539968).

2143563840 is an abundant number, since it is smaller than the sum of its proper divisors (6021516096).

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

2143563840 is a wasteful number, since it uses less digits than its factorization.

2143563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2143563840 is about 46298.6375609477. The cubic root of 2143563840 is about 1289.3736999442.

The spelling of 2143563840 in words is "two billion, one hundred forty-three million, five hundred sixty-three thousand, eight hundred forty".