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1055405067 = 31741683739
BaseRepresentation
bin111110111010000…
…011010000001011
32201112221010120120
4332322003100023
54130140430232
6252420554323
735103536463
oct7672032013
92645833516
101055405067
114a18264a2
122555529a3
1313a868852
14a0250ba3
15629c792c
hex3ee8340b

1055405067 has 32 divisors (see below), whose sum is σ = 1530627840. Its totient is φ = 644244480.

The previous prime is 1055405063. The next prime is 1055405107. The reversal of 1055405067 is 7605045501.

1055405067 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1055405067 - 22 = 1055405063 is a prime.

It is a super-3 number, since 3×10554050673 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1055405063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1427784 + ... + 1428522.

It is an arithmetic number, because the mean of its divisors is an integer number (47832120).

Almost surely, 21055405067 is an apocalyptic number.

1055405067 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1055405067 is a deficient number, since it is larger than the sum of its proper divisors (475222773).

1055405067 is a wasteful number, since it uses less digits than its factorization.

1055405067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483.

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 1055405067 is about 32486.9984301412. The cubic root of 1055405067 is about 1018.1374014756.

The spelling of 1055405067 in words is "one billion, fifty-five million, four hundred five thousand, sixty-seven".

Divisors: 1 3 17 41 51 123 683 697 739 2049 2091 2217 11611 12563 28003 30299 34833 37689 84009 90897 476051 504737 515083 1428153 1514211 1545249 8580529 20694217 25741587 62082651 351801689 1055405067