Search a number
-
+
2421027840 = 210357112389
BaseRepresentation
bin1001000001001101…
…1111010000000000
320020201120221211210
42100103133100000
514424240342330
61040123010120
7113665253130
oct22023372000
96221527753
102421027840
111032675060
12576969940
132c776bb6a
1418d774ac0
15e282b8b0
hex904df400

2421027840 has 704 divisors, whose sum is σ = 10187182080. Its totient is φ = 475791360.

The previous prime is 2421027799. The next prime is 2421027859. The reversal of 2421027840 is 487201242.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×24210278402 = 11722751604110131200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2421027798 and 2421027807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27202516 + ... + 27202604.

Almost surely, 22421027840 is an apocalyptic number.

2421027840 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 2421027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5093591040).

2421027840 is an abundant number, since it is smaller than the sum of its proper divisors (7766154240).

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

2421027840 is a wasteful number, since it uses less digits than its factorization.

2421027840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 2421027840 is about 49203.9413055499. The cubic root of 2421027840 is about 1342.7647380422.

It can be divided in two parts, 242102 and 7840, that added together give a palindrome (249942).

The spelling of 2421027840 in words is "two billion, four hundred twenty-one million, twenty-seven thousand, eight hundred forty".