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423020520 = 2332513217409
BaseRepresentation
bin11001001101101…
…100011111101000
31002110222200001200
4121031230133220
51331243124040
6105550444200
713324420656
oct3115543750
91073880050
10423020520
111a786963a
12b9803660
1369841800
1440277dd6
152720e630
hex1936c7e8

423020520 has 288 divisors, whose sum is σ = 1580131800. Its totient is φ = 97763328.

The previous prime is 423020467. The next prime is 423020551. The reversal of 423020520 is 25020324.

It can be written as a sum of positive squares in 12 ways, for example, as 42536484 + 380484036 = 6522^2 + 19506^2 .

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 = 423020493 and 423020502.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1034076 + ... + 1034484.

Almost surely, 2423020520 is an apocalyptic number.

423020520 is a gapful number since it is divisible by the number (40) 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 423020520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790065900).

423020520 is an abundant number, since it is smaller than the sum of its proper divisors (1157111280).

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

423020520 is a wasteful number, since it uses less digits than its factorization.

423020520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 423020520 is about 20567.4626534242. The cubic root of 423020520 is about 750.6782131843.

Adding to 423020520 its reverse (25020324), we get a palindrome (448040844).

The spelling of 423020520 in words is "four hundred twenty-three million, twenty thousand, five hundred twenty".