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1058466980 = 22576968821
BaseRepresentation
bin111111000101101…
…110110010100100
32201202200200201202
4333011232302210
54131431420410
6253010342032
735141551364
oct7705566244
92652620652
101058466980
114a35279aa
1225658a918
1313b39b42c
14a080a9a4
1562dceca5
hex3f16eca4

1058466980 has 24 divisors (see below), whose sum is σ = 2225703480. Its totient is φ = 422830080.

The previous prime is 1058466967. The next prime is 1058466989. The reversal of 1058466980 is 896648501.

It can be written as a sum of positive squares in 4 ways, for example, as 15952036 + 1042514944 = 3994^2 + 32288^2 .

It is a super-2 number, since 2×10584669802 = 2240704695500640800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1058466989) 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, 19031 + ... + 49790.

It is an arithmetic number, because the mean of its divisors is an integer number (92737645).

Almost surely, 21058466980 is an apocalyptic number.

1058466980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1058466980 is an abundant number, since it is smaller than the sum of its proper divisors (1167236500).

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

1058466980 is a wasteful number, since it uses less digits than its factorization.

1058466980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69599 (or 69597 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The square root of 1058466980 is about 32534.0895062395. The cubic root of 1058466980 is about 1019.1210485258.

The spelling of 1058466980 in words is "one billion, fifty-eight million, four hundred sixty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 769 1538 3076 3845 7690 15380 68821 137642 275284 344105 688210 1376420 52923349 105846698 211693396 264616745 529233490 1058466980