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1067132889 = 32108892
BaseRepresentation
bin111111100110110…
…010011111011001
32202100222222010100
4333212302133121
54141141223024
6253520210013
735305323414
oct7746623731
92670888110
101067132889
114a8406809
12259469909
131401139a4
14a1a24b7b
1563a427c9
hex3f9b27d9

1067132889 has 9 divisors (see below), whose sum is σ = 1541555743. Its totient is φ = 711356592.

The previous prime is 1067132879. The next prime is 1067132893. The reversal of 1067132889 is 9882317601.

The square root of 1067132889 is 32667.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 32867289 + 1034265600 = 5733^2 + 32160^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1067132889 - 29 = 1067132377 is a prime.

It is a super-2 number, since 2×10671328892 = 2277545205570972642, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1067132819) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 92557 + ... + 103445.

Almost surely, 21067132889 is an apocalyptic number.

1067132889 is the 32667-th square number.

1067132889 is the 16334-th centered octagonal number.

It is an amenable number.

1067132889 is a deficient number, since it is larger than the sum of its proper divisors (474422854).

1067132889 is an frugal number, since it uses more digits than its factorization.

1067132889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21784 (or 10892 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The cubic root of 1067132889 is about 1021.8947509130.

It can be divided in two parts, 1067 and 132889, that added together give a square (133956 = 3662).

The spelling of 1067132889 in words is "one billion, sixty-seven million, one hundred thirty-two thousand, eight hundred eighty-nine".

Divisors: 1 3 9 10889 32667 98001 118570321 355710963 1067132889