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2406379220 = 2257215672
BaseRepresentation
bin1000111101101110…
…0110111011010100
320012201000201201022
42033123212323110
514412013113340
61034441020312
7113426612600
oct21733467324
96181021638
102406379220
11102537a363
12571a84698
132c471043b
1418b840500
15e13d63b5
hex8f6e6ed4

2406379220 has 54 divisors (see below), whose sum is σ = 5882194458. Its totient is φ = 824517792.

The previous prime is 2406379219. The next prime is 2406379229. The reversal of 2406379220 is 229736042.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1925103376 + 481275844 = 43876^2 + 21938^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2406379229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1534877 + ... + 1536443.

It is an arithmetic number, because the mean of its divisors is an integer number (108929527).

Almost surely, 22406379220 is an apocalyptic number.

2406379220 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 2406379220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941097229).

2406379220 is an abundant number, since it is smaller than the sum of its proper divisors (3475815238).

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

2406379220 is an equidigital number, since it uses as much as digits as its factorization.

2406379220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 2406379220 is about 49054.8592903904. The cubic root of 2406379220 is about 1340.0510896092.

The spelling of 2406379220 in words is "two billion, four hundred six million, three hundred seventy-nine thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1567 3134 6268 7835 10969 15670 21938 31340 43876 54845 76783 109690 153566 219380 307132 383915 767830 1535660 2455489 4910978 9821956 12277445 17188423 24554890 34376846 49109780 68753692 85942115 120318961 171884230 240637922 343768460 481275844 601594805 1203189610 2406379220