Search a number
-
+
1057100569 = 72194911069
BaseRepresentation
bin111111000000100…
…001001100011001
32201200010021100221
4333000201030121
54131104204234
6252521200041
735124130600
oct7700411431
92650107327
101057100569
114a2784338
12256030021
1313b0104c5
14a0572a37
1562c0eeb4
hex3f021319

1057100569 has 12 divisors (see below), whose sum is σ = 1230430500. Its totient is φ = 905539488.

The previous prime is 1057100563. The next prime is 1057100573. The reversal of 1057100569 is 9650017501.

It can be written as a sum of positive squares in 2 ways, for example, as 451350025 + 605750544 = 21245^2 + 24612^2 .

It is not a de Polignac number, because 1057100569 - 215 = 1057067801 is a prime.

It is a super-2 number, since 2×10571005692 = 2234923225960247522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1057100563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89967 + ... + 101035.

It is an arithmetic number, because the mean of its divisors is an integer number (102535875).

Almost surely, 21057100569 is an apocalyptic number.

It is an amenable number.

1057100569 is a deficient number, since it is larger than the sum of its proper divisors (173329931).

1057100569 is a wasteful number, since it uses less digits than its factorization.

1057100569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13032 (or 13025 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 34.

The square root of 1057100569 is about 32513.0830435995. The cubic root of 1057100569 is about 1018.6823203486.

The spelling of 1057100569 in words is "one billion, fifty-seven million, one hundred thousand, five hundred sixty-nine".

Divisors: 1 7 49 1949 11069 13643 77483 95501 542381 21573481 151014367 1057100569