Search a number
-
+
431213020 = 22573080093
BaseRepresentation
bin11001101100111…
…100100111011100
31010001101220001121
4121230330213130
51340342304040
6110442220324
713454151550
oct3154744734
91101356047
10431213020
112014547a7
121004b46a4
136b44c744
14413ab860
1527ccbc4a
hex19b3c9dc

431213020 has 24 divisors (see below), whose sum is σ = 1034911584. Its totient is φ = 147844416.

The previous prime is 431212997. The next prime is 431213021. The reversal of 431213020 is 20312134.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 431212985 and 431213003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431213021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1539907 + ... + 1540186.

It is an arithmetic number, because the mean of its divisors is an integer number (43121316).

Almost surely, 2431213020 is an apocalyptic number.

It is an amenable number.

431213020 is an abundant number, since it is smaller than the sum of its proper divisors (603698564).

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

431213020 is a wasteful number, since it uses less digits than its factorization.

431213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080109 (or 3080107 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 431213020 is about 20765.6692644374. The cubic root of 431213020 is about 755.4933080046.

Adding to 431213020 its reverse (20312134), we get a palindrome (451525154).

The spelling of 431213020 in words is "four hundred thirty-one million, two hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 3080093 6160186 12320372 15400465 21560651 30800930 43121302 61601860 86242604 107803255 215606510 431213020