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1305640089 = 321324319963
BaseRepresentation
bin100110111010010…
…0111110010011001
310100222210101111100
41031310213302121
510133220440324
6333320222013
744232520605
oct11564476231
93328711440
101305640089
1160aaaa7a6
1230530a909
1317a661200
14c558c505
15799564c9
hex4dd27c99

1305640089 has 36 divisors (see below), whose sum is σ = 2089751664. Its totient is φ = 784746144.

The previous prime is 1305640019. The next prime is 1305640099. The reversal of 1305640089 is 9800465031.

1305640089 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 640 + 0 + 8 + 9 = 666.

It is not a de Polignac number, because 1305640089 - 28 = 1305639833 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1305640019) 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 35 ways as a sum of consecutive naturals, for example, 55422 + ... + 75384.

Almost surely, 21305640089 is an apocalyptic number.

It is an amenable number.

1305640089 is a deficient number, since it is larger than the sum of its proper divisors (784111575).

1305640089 is a wasteful number, since it uses less digits than its factorization.

1305640089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20038 (or 20022 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1305640089 is about 36133.6420666392. The cubic root of 1305640089 is about 1092.9689529001.

The spelling of 1305640089 in words is "one billion, three hundred five million, six hundred forty thousand, eighty-nine".

Divisors: 1 3 9 13 39 43 117 129 169 387 507 559 1521 1677 5031 7267 19963 21801 59889 65403 179667 259519 778557 858409 2335671 2575227 3373747 7725681 10121241 11159317 30363723 33477951 100433853 145071121 435213363 1305640089