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1080429028 = 227289241257
BaseRepresentation
bin100000001100110…
…0000100111100100
32210022000110222221
41000121200213210
54203042212103
6255113202124
735526331600
oct10031404744
92708013887
101080429028
11504968358
12261a00344
13142aba923
14a36c6500
1564cbc1bd
hex406609e4

1080429028 has 72 divisors (see below), whose sum is σ = 2242076760. Its totient is φ = 454164480.

The previous prime is 1080429013. The next prime is 1080429029. The reversal of 1080429028 is 8209240801.

It can be written as a sum of positive squares in 4 ways, for example, as 436893604 + 643535424 = 20902^2 + 25368^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1080428984 and 1080429002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1080429029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4203876 + ... + 4204132.

It is an arithmetic number, because the mean of its divisors is an integer number (31139955).

Almost surely, 21080429028 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 1080429028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121038380).

1080429028 is an abundant number, since it is smaller than the sum of its proper divisors (1161647732).

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

1080429028 is a wasteful number, since it uses less digits than its factorization.

1080429028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 1080429028 is about 32869.8802553341. The cubic root of 1080429028 is about 1026.1214069760.

Adding to 1080429028 its reverse (8209240801), we get a palindrome (9289669829).

The spelling of 1080429028 in words is "one billion, eighty million, four hundred twenty-nine thousand, twenty-eight".

Divisors: 1 2 4 7 14 28 49 89 98 178 196 241 257 356 482 514 623 964 1028 1246 1687 1799 2492 3374 3598 4361 6748 7196 8722 11809 12593 17444 21449 22873 23618 25186 42898 45746 47236 50372 61937 85796 91492 123874 150143 160111 247748 300286 320222 433559 600572 640444 867118 1051001 1120777 1734236 2102002 2241554 3034913 4204004 4483108 5512393 6069826 11024786 12139652 22049572 38586751 77173502 154347004 270107257 540214514 1080429028