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2401243020 = 22325113773449
BaseRepresentation
bin1000111100100000…
…0000111110001100
320012100100210011200
42033020000332030
514404204234040
61034134545500
7113335141341
oct21710007614
96170323150
102401243020
111022491470
12570208290
132c3632677
1418aca47c8
15e0c1e630
hex8f200f8c

2401243020 has 288 divisors, whose sum is σ = 8290900800. Its totient is φ = 557383680.

The previous prime is 2401242997. The next prime is 2401243021. The reversal of 2401243020 is 203421042.

2401243020 is a `hidden beast` number, since 2 + 401 + 243 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2401242984 and 2401243002.

It is not an unprimeable number, because it can be changed into a prime (2401243021) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5347756 + ... + 5348204.

It is an arithmetic number, because the mean of its divisors is an integer number (28787850).

Almost surely, 22401243020 is an apocalyptic number.

2401243020 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 2401243020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145450400).

2401243020 is an abundant number, since it is smaller than the sum of its proper divisors (5889657780).

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

2401243020 is a wasteful number, since it uses less digits than its factorization.

2401243020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2401243020 is about 49002.4797331727. The cubic root of 2401243020 is about 1339.0970043112.

Adding to 2401243020 its reverse (203421042), we get a palindrome (2604664062).

The spelling of 2401243020 in words is "two billion, four hundred one million, two hundred forty-three thousand, twenty".