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420353514 = 232713924001
BaseRepresentation
bin11001000011100…
…001010111101010
31002021222011121200
4121003201113222
51330102303024
6105413345030
713262642310
oct3103412752
91067864550
10420353514
111a63078a9
12b8938176
13691198b9
143db820b0
1526d842c9
hex190e15ea

420353514 has 48 divisors (see below), whose sum is σ = 1048407360. Its totient is φ = 119232000.

The previous prime is 420353513. The next prime is 420353519. The reversal of 420353514 is 415353024.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (420353513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5514 + ... + 29514.

It is an arithmetic number, because the mean of its divisors is an integer number (21841820).

Almost surely, 2420353514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420353514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524203680).

420353514 is an abundant number, since it is smaller than the sum of its proper divisors (628053846).

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

420353514 is a wasteful number, since it uses less digits than its factorization.

420353514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24155 (or 24152 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 420353514 is about 20502.5245762565. The cubic root of 420353514 is about 749.0972925950.

The spelling of 420353514 in words is "four hundred twenty million, three hundred fifty-three thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 139 278 417 834 973 1251 1946 2502 2919 5838 8757 17514 24001 48002 72003 144006 168007 216009 336014 432018 504021 1008042 1512063 3024126 3336139 6672278 10008417 20016834 23352973 30025251 46705946 60050502 70058919 140117838 210176757 420353514