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1058300412 = 2231315144927
BaseRepresentation
bin111111000101000…
…110000111111100
32201202101020020120
4333011012013330
54131411103122
6253003014540
735140255641
oct7705060774
92652336216
101058300412
114a3423844
1225650a450
1313b340680
14a07a5dc8
1562d9a75c
hex3f1461fc

1058300412 has 48 divisors (see below), whose sum is σ = 2676989952. Its totient is φ = 323467200.

The previous prime is 1058300389. The next prime is 1058300417. The reversal of 1058300412 is 2140038501.

It is a super-2 number, since 2×10583004122 = 2239999524078739488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1058300417) 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, 1093 + ... + 46019.

It is an arithmetic number, because the mean of its divisors is an integer number (55770624).

Almost surely, 21058300412 is an apocalyptic number.

1058300412 is a gapful number since it is divisible by the number (12) 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 1058300412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338494976).

1058300412 is an abundant number, since it is smaller than the sum of its proper divisors (1618689540).

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

1058300412 is a wasteful number, since it uses less digits than its factorization.

1058300412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45098 (or 45096 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1058300412 is about 32531.5295060039. The cubic root of 1058300412 is about 1019.0675869745.

Adding to 1058300412 its reverse (2140038501), we get a palindrome (3198338913).

The spelling of 1058300412 in words is "one billion, fifty-eight million, three hundred thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 151 156 302 453 604 906 1812 1963 3926 5889 7852 11778 23556 44927 89854 134781 179708 269562 539124 584051 1168102 1752153 2336204 3504306 6783977 7008612 13567954 20351931 27135908 40703862 81407724 88191701 176383402 264575103 352766804 529150206 1058300412