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481030420 = 225132716827
BaseRepresentation
bin11100101010111…
…111000100010100
31020112010212200111
4130222333010110
51441120433140
6115422052404
714630456023
oct3452770424
91215125614
10481030420
11227590302
1211511a104
13788729b0
1447c588ba
152c36c7ea
hex1cabf114

481030420 has 48 divisors (see below), whose sum is σ = 1092043008. Its totient is φ = 176929920.

The previous prime is 481030411. The next prime is 481030421. The reversal of 481030420 is 24030184.

It is a super-3 number, since 3×4810304203 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 481030391 and 481030400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481030421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67047 + ... + 73873.

It is an arithmetic number, because the mean of its divisors is an integer number (22750896).

Almost surely, 2481030420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481030420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546021504).

481030420 is an abundant number, since it is smaller than the sum of its proper divisors (611012588).

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

481030420 is a wasteful number, since it uses less digits than its factorization.

481030420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7120 (or 7118 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 481030420 is about 21932.4057048013. The cubic root of 481030420 is about 783.5333997304.

The spelling of 481030420 in words is "four hundred eighty-one million, thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 271 542 1084 1355 2710 3523 5420 6827 7046 13654 14092 17615 27308 34135 35230 68270 70460 88751 136540 177502 355004 443755 887510 1775020 1850117 3700234 7400468 9250585 18501170 24051521 37002340 48103042 96206084 120257605 240515210 481030420