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1057198969 = 1922928529
BaseRepresentation
bin111111000000111…
…001001101111001
32201200022021100101
4333000321031321
54131120331334
6252523235401
735125020511
oct7700711571
92650267311
101057198969
114a2841262
12256078b61
1313b046228
14a059a841
1562c2e214
hex3f039379

1057198969 has 6 divisors (see below), whose sum is σ = 1115769930. Its totient is φ = 1001556576.

The previous prime is 1057198949. The next prime is 1057199027. The reversal of 1057198969 is 9698917501.

It can be written as a sum of positive squares in only one way, i.e., 1010413369 + 46785600 = 31787^2 + 6840^2 .

It is not a de Polignac number, because 1057198969 - 217 = 1057067897 is a prime.

It is a super-2 number, since 2×10571989692 = 2235339320109325922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1057198949) 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 5 ways as a sum of consecutive naturals, for example, 1463904 + ... + 1464625.

It is an arithmetic number, because the mean of its divisors is an integer number (185961655).

Almost surely, 21057198969 is an apocalyptic number.

1057198969 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1057198969 is a deficient number, since it is larger than the sum of its proper divisors (58570961).

1057198969 is an equidigital number, since it uses as much as digits as its factorization.

1057198969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928567 (or 2928548 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 55.

The square root of 1057198969 is about 32514.5962453788. The cubic root of 1057198969 is about 1018.7139273162.

The spelling of 1057198969 in words is "one billion, fifty-seven million, one hundred ninety-eight thousand, nine hundred sixty-nine".

Divisors: 1 19 361 2928529 55642051 1057198969