Search a number
-
+
2405200420 = 225753324151
BaseRepresentation
bin1000111101011100…
…0111001000100100
320012121210211201001
42033113013020210
514411212403140
61034355443044
7113413603060
oct21727071044
96177724631
102405200420
111024744747
125715b6484
132c43b9a1c
1418b614aa0
15e1251e9a
hex8f5c7224

2405200420 has 48 divisors (see below), whose sum is σ = 5881413888. Its totient is φ = 809078400.

The previous prime is 2405200417. The next prime is 2405200433. The reversal of 2405200420 is 240025042.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154656 + ... + 169495.

It is an arithmetic number, because the mean of its divisors is an integer number (122529456).

Almost surely, 22405200420 is an apocalyptic number.

2405200420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2405200420 is an abundant number, since it is smaller than the sum of its proper divisors (3476213468).

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

2405200420 is a wasteful number, since it uses less digits than its factorization.

2405200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324220 (or 324218 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 2405200420 is about 49042.8426990116. The cubic root of 2405200420 is about 1339.8322393383.

Adding to 2405200420 its reverse (240025042), we get a palindrome (2645225462).

The spelling of 2405200420 in words is "two billion, four hundred five million, two hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1855 3710 7420 324151 648302 1296604 1620755 2269057 3241510 4538114 6483020 9076228 11345285 17180003 22690570 34360006 45381140 68720012 85900015 120260021 171800030 240520042 343600060 481040084 601300105 1202600210 2405200420