Search a number
-
+
2120401424 = 24132525089
BaseRepresentation
bin111111001100010…
…1100001000010000
312110202220112221002
41332120230020100
513320310321144
6550223321132
7103355054231
oct17630541020
95422815832
102120401424
11998a02a79
124b21501a8
1327a3b1bcb
1416187b088
15c624714e
hex7e62c210

2120401424 has 10 divisors (see below), whose sum is σ = 4108277790. Its totient is φ = 1060200704.

The previous prime is 2120401411. The next prime is 2120401429. The reversal of 2120401424 is 4241040212.

It can be written as a sum of positive squares in only one way, i.e., 1924401424 + 196000000 = 43868^2 + 14000^2 .

It is a super-2 number, since 2×21204014242 = 8992204397802455552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2120401396 and 2120401405.

It is not an unprimeable number, because it can be changed into a prime (2120401429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66262529 + ... + 66262560.

It is an arithmetic number, because the mean of its divisors is an integer number (410827779).

Almost surely, 22120401424 is an apocalyptic number.

It is an amenable number.

2120401424 is a deficient number, since it is larger than the sum of its proper divisors (1987876366).

2120401424 is a wasteful number, since it uses less digits than its factorization.

2120401424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132525097 (or 132525091 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2120401424 is about 46047.8167126304. The cubic root of 2120401424 is about 1284.7127346675.

Adding to 2120401424 its reverse (4241040212), we get a palindrome (6361441636).

The spelling of 2120401424 in words is "two billion, one hundred twenty million, four hundred one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 132525089 265050178 530100356 1060200712 2120401424