Search a number
-
+
1057060191 = 31136787281
BaseRepresentation
bin111111000000010…
…111010101011111
32201200001012222110
4333000113111133
54131101411231
6252520245103
735123602065
oct7700272537
92650035873
101057060191
114a2756a70
12256010793
1313acc8005
14a0562035
1562c03046
hex3f01755f

1057060191 has 16 divisors (see below), whose sum is σ = 1541749248. Its totient is φ = 638889600.

The previous prime is 1057060159. The next prime is 1057060217. The reversal of 1057060191 is 1910607501.

It is not a de Polignac number, because 1057060191 - 25 = 1057060159 is a prime.

It is a super-2 number, since 2×10570601912 = 2234752494793912962, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057062191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31530 + ... + 55751.

It is an arithmetic number, because the mean of its divisors is an integer number (96359328).

Almost surely, 21057060191 is an apocalyptic number.

1057060191 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1057060191 is a deficient number, since it is larger than the sum of its proper divisors (484689057).

1057060191 is a wasteful number, since it uses less digits than its factorization.

1057060191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87662.

The product of its (nonzero) digits is 1890, while the sum is 30.

The square root of 1057060191 is about 32512.4620876365. The cubic root of 1057060191 is about 1018.6693500032.

Adding to 1057060191 its reverse (1910607501), we get a palindrome (2967667692).

The spelling of 1057060191 in words is "one billion, fifty-seven million, sixty thousand, one hundred ninety-one".

Divisors: 1 3 11 33 367 1101 4037 12111 87281 261843 960091 2880273 32032127 96096381 352353397 1057060191