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1059058949 = 1326266621
BaseRepresentation
bin111111000111111…
…111010100000101
32201210210202202112
4333013333110011
54132104341244
6253031150405
735146565264
oct7707772405
92653722675
101059058949
114a38a1733
12256815405
1313b547a00
14a09225db
1562e9a39e
hex3f1ff505

1059058949 has 6 divisors (see below), whose sum is σ = 1146791826. Its totient is φ = 977592720.

The previous prime is 1059058927. The next prime is 1059058967. The reversal of 1059058949 is 9498509501.

It can be written as a sum of positive squares in 3 ways, for example, as 12100 + 1059046849 = 110^2 + 32543^2 .

It is not a de Polignac number, because 1059058949 - 212 = 1059054853 is a prime.

It is a super-2 number, since 2×10590589492 = 2243211714913969202, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1059058897 and 1059058906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1059088949) 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 5 ways as a sum of consecutive naturals, for example, 3133142 + ... + 3133479.

It is an arithmetic number, because the mean of its divisors is an integer number (191131971).

Almost surely, 21059058949 is an apocalyptic number.

It is an amenable number.

1059058949 is a deficient number, since it is larger than the sum of its proper divisors (87732877).

1059058949 is an equidigital number, since it uses as much as digits as its factorization.

1059058949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6266647 (or 6266634 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 50.

The square root of 1059058949 is about 32543.1859073447. The cubic root of 1059058949 is about 1019.3110011167.

The spelling of 1059058949 in words is "one billion, fifty-nine million, fifty-eight thousand, nine hundred forty-nine".

Divisors: 1 13 169 6266621 81466073 1059058949