Search a number
-
+
442130020 = 22537597473
BaseRepresentation
bin11010010110100…
…101111001100100
31010210221112100221
4122112211321210
51401141130040
6111512214124
713646020543
oct3226457144
91123845327
10442130020
11207630912
1210409a344
13707a27c7
1442a1015a
1528c3674a
hex1a5a5e64

442130020 has 24 divisors (see below), whose sum is σ = 953568504. Its totient is φ = 172071936.

The previous prime is 442129979. The next prime is 442130021. The reversal of 442130020 is 20031244.

It can be written as a sum of positive squares in 4 ways, for example, as 25725184 + 416404836 = 5072^2 + 20406^2 .

It is a junction number, because it is equal to n+sod(n) for n = 442129976 and 442130003.

It is not an unprimeable number, because it can be changed into a prime (442130021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297997 + ... + 299476.

It is an arithmetic number, because the mean of its divisors is an integer number (39732021).

Almost surely, 2442130020 is an apocalyptic number.

It is an amenable number.

442130020 is an abundant number, since it is smaller than the sum of its proper divisors (511438484).

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

442130020 is a wasteful number, since it uses less digits than its factorization.

442130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597519 (or 597517 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 442130020 is about 21026.8880246222. Note that the first 3 decimals coincide. The cubic root of 442130020 is about 761.8158449819.

Adding to 442130020 its reverse (20031244), we get a palindrome (462161264).

The spelling of 442130020 in words is "four hundred forty-two million, one hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 597473 1194946 2389892 2987365 5974730 11949460 22106501 44213002 88426004 110532505 221065010 442130020