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1057419901 = 19226910889
BaseRepresentation
bin111111000001101…
…111001001111101
32201200201111102001
4333001233021331
54131144414101
6252532102301
735126630566
oct7701571175
92650644361
101057419901
114a298224a
12256164991
1313b0c2965
14a061716d
1562c74901
hex3f06f27d

1057419901 has 12 divisors (see below), whose sum is σ = 1120254300. Its totient is φ = 997950528.

The previous prime is 1057419887. The next prime is 1057419943. The reversal of 1057419901 is 1099147501.

It can be written as a sum of positive squares in 2 ways, for example, as 49420900 + 1007999001 = 7030^2 + 31749^2 .

It is a de Polignac number, because none of the positive numbers 2k-1057419901 is a prime.

It is a super-2 number, since 2×10574199012 = 2236273694061699602, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057419991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91665 + ... + 102553.

It is an arithmetic number, because the mean of its divisors is an integer number (93354525).

Almost surely, 21057419901 is an apocalyptic number.

It is an amenable number.

1057419901 is a deficient number, since it is larger than the sum of its proper divisors (62834399).

1057419901 is a wasteful number, since it uses less digits than its factorization.

1057419901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11196 (or 11177 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 37.

The square root of 1057419901 is about 32517.9934959093. The cubic root of 1057419901 is about 1018.7848855230.

The spelling of 1057419901 in words is "one billion, fifty-seven million, four hundred nineteen thousand, nine hundred one".

Divisors: 1 19 269 361 5111 10889 97109 206891 2929141 3930929 55653679 1057419901