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423040520 = 235721012137
BaseRepresentation
bin11001001101110…
…001011000001000
31002111000200111102
4121031301120020
51331244244040
6105551120532
713324533200
oct3115613010
91074020442
10423040520
111a7882671
12b9813148
136984a946
1440281400
1527215515
hex19371608

423040520 has 96 divisors (see below), whose sum is σ = 1118729880. Its totient is φ = 143539200.

The previous prime is 423040517. The next prime is 423040531. The reversal of 423040520 is 25040324.

It can be written as a sum of positive squares in 4 ways, for example, as 340993156 + 82047364 = 18466^2 + 9058^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 423040492 and 423040501.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196892 + ... + 199028.

Almost surely, 2423040520 is an apocalyptic number.

423040520 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 423040520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559364940).

423040520 is an abundant number, since it is smaller than the sum of its proper divisors (695689360).

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

423040520 is a wasteful number, since it uses less digits than its factorization.

423040520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 423040520 is about 20567.9488525229. The cubic root of 423040520 is about 750.6900434439.

Adding to 423040520 its reverse (25040324), we get a palindrome (448080844).

The spelling of 423040520 in words is "four hundred twenty-three million, forty thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 101 140 196 202 245 280 392 404 490 505 707 808 980 1010 1414 1960 2020 2137 2828 3535 4040 4274 4949 5656 7070 8548 9898 10685 14140 14959 17096 19796 21370 24745 28280 29918 39592 42740 49490 59836 74795 85480 98980 104713 119672 149590 197960 209426 215837 299180 418852 431674 523565 598360 837704 863348 1047130 1079185 1510859 1726696 2094260 2158370 3021718 4188520 4316740 6043436 7554295 8633480 10576013 12086872 15108590 21152026 30217180 42304052 52880065 60434360 84608104 105760130 211520260 423040520