Search a number
-
+
1107057069 = 32409300749
BaseRepresentation
bin100000111111100…
…0101100110101101
32212011010022210200
41001333011212231
54231401311234
6301504024113
736301554426
oct10177054655
92764108720
101107057069
115189a53a8
1226a902039
13148481b71
14a705864d
15672cbd99
hex41fc59ad

1107057069 has 12 divisors (see below), whose sum is σ = 1602997500. Its totient is φ = 736231104.

The previous prime is 1107057053. The next prime is 1107057101. The reversal of 1107057069 is 9607507011.

1107057069 is a `hidden beast` number, since 1 + 10 + 70 + 570 + 6 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 478953225 + 628103844 = 21885^2 + 25062^2 .

It is not a de Polignac number, because 1107057069 - 24 = 1107057053 is a prime.

It is a super-2 number, since 2×11070570692 = 2451150708045741522, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107057019) 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 11 ways as a sum of consecutive naturals, for example, 146694 + ... + 154055.

It is an arithmetic number, because the mean of its divisors is an integer number (133583125).

Almost surely, 21107057069 is an apocalyptic number.

It is an amenable number.

1107057069 is a deficient number, since it is larger than the sum of its proper divisors (495940431).

1107057069 is a wasteful number, since it uses less digits than its factorization.

1107057069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301164 (or 301161 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 1107057069 is about 33272.4671312483. The cubic root of 1107057069 is about 1034.4829483504.

The spelling of 1107057069 in words is "one billion, one hundred seven million, fifty-seven thousand, sixty-nine".

Divisors: 1 3 9 409 1227 3681 300749 902247 2706741 123006341 369019023 1107057069