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1055040327 = 3211173229269
BaseRepresentation
bin111110111000101…
…010001101000111
32201112020121020200
4332320222031013
54130042242302
6252405101543
735100460215
oct7670521507
92645217220
101055040327
114a15a7460
122553b78b3
1313a76b823
14a0197cb5
156295481c
hex3ee2a347

1055040327 has 48 divisors (see below), whose sum is σ = 1685642400. Its totient is φ = 630593280.

The previous prime is 1055040299. The next prime is 1055040367. The reversal of 1055040327 is 7230405501.

It is a happy number.

It is not a de Polignac number, because 1055040327 - 211 = 1055038279 is a prime.

It is a super-2 number, since 2×10550403272 = 2226220183192533858, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1055040327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055040367) 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 47 ways as a sum of consecutive naturals, for example, 3921949 + ... + 3922217.

It is an arithmetic number, because the mean of its divisors is an integer number (35117550).

Almost surely, 21055040327 is an apocalyptic number.

1055040327 is a deficient number, since it is larger than the sum of its proper divisors (630602073).

1055040327 is a wasteful number, since it uses less digits than its factorization.

1055040327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 1055040327 is about 32481.3843147117. The cubic root of 1055040327 is about 1018.0201011029.

Adding to 1055040327 its reverse (7230405501), we get a palindrome (8285445828).

The spelling of 1055040327 in words is "one billion, fifty-five million, forty thousand, three hundred twenty-seven".

Divisors: 1 3 9 11 33 99 173 229 269 519 687 807 1557 1903 2061 2421 2519 2959 5709 7557 8877 17127 22671 26631 39617 46537 61601 118851 139611 184803 356553 418833 435787 511907 554409 677611 1307361 1535721 2032833 3922083 4607163 6098499 10656973 31970919 95912757 117226703 351680109 1055040327