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431020 = 22523937
BaseRepresentation
bin1101001001110101100
3210220020201
41221032230
5102243040
613123244
73443422
oct1511654
9726221
10431020
11274917
12189524
13121255
14b3112
1587a9a
hex693ac

431020 has 24 divisors (see below), whose sum is σ = 945504. Its totient is φ = 164736.

The previous prime is 431017. The next prime is 431021. The reversal of 431020 is 20134.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 430988 and 431006.

It is not an unprimeable number, because it can be changed into a prime (431021) 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, 9 + ... + 928.

It is an arithmetic number, because the mean of its divisors is an integer number (39396).

2431020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472752).

431020 is an abundant number, since it is smaller than the sum of its proper divisors (514484).

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

431020 is a wasteful number, since it uses less digits than its factorization.

431020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 431020 is about 656.5211344656. The cubic root of 431020 is about 75.5380566293.

Adding to 431020 its reverse (20134), we get a palindrome (451154).

The spelling of 431020 in words is "four hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 937 1874 3748 4685 9370 18740 21551 43102 86204 107755 215510 431020