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1032431420 = 225174396917
BaseRepresentation
bin111101100010011…
…010011100111100
32122221200221122202
4331202122130330
54103300301140
6250240331032
734404344066
oct7542323474
92587627582
101032431420
1148a865009
12249913a78
13135b83a87
149b190736
156098a915
hex3d89a73c

1032431420 has 48 divisors (see below), whose sum is σ = 2301203520. Its totient is φ = 387738624.

The previous prime is 1032431401. The next prime is 1032431423. The reversal of 1032431420 is 241342301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1032431392 and 1032431401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032431423) 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 15 ways as a sum of consecutive naturals, for example, 145802 + ... + 152718.

It is an arithmetic number, because the mean of its divisors is an integer number (47941740).

Almost surely, 21032431420 is an apocalyptic number.

1032431420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032431420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150601760).

1032431420 is an abundant number, since it is smaller than the sum of its proper divisors (1268772100).

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

1032431420 is a wasteful number, since it uses less digits than its factorization.

1032431420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7382 (or 7380 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1032431420 is about 32131.4708658038. The cubic root of 1032431420 is about 1010.6956681639.

Adding to 1032431420 its reverse (241342301), we get a palindrome (1273773721).

The spelling of 1032431420 in words is "one billion, thirty-two million, four hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 439 878 1756 2195 4390 6917 7463 8780 13834 14926 27668 29852 34585 37315 69170 74630 117589 138340 149260 235178 470356 587945 1175890 2351780 3036563 6073126 12146252 15182815 30365630 51621571 60731260 103243142 206486284 258107855 516215710 1032431420