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1305639093 = 3111971139211
BaseRepresentation
bin100110111010010…
…0111100010110101
310100222210100010110
41031310213202311
510133220422333
6333320213233
744232514653
oct11564474265
93328710113
101305639093
1160aaa9a80
1230530a219
1317a660915
14c558bdd3
1579956063
hex4dd278b5

1305639093 has 64 divisors (see below), whose sum is σ = 2051481600. Its totient is φ = 730296000.

The previous prime is 1305639079. The next prime is 1305639103. The reversal of 1305639093 is 3909365031.

It is not a de Polignac number, because 1305639093 - 25 = 1305639061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305632093) 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 63 ways as a sum of consecutive naturals, for example, 6187758 + ... + 6187968.

It is an arithmetic number, because the mean of its divisors is an integer number (32054400).

Almost surely, 21305639093 is an apocalyptic number.

It is an amenable number.

1305639093 is a deficient number, since it is larger than the sum of its proper divisors (745842507).

1305639093 is a wasteful number, since it uses less digits than its factorization.

1305639093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454.

The product of its (nonzero) digits is 65610, while the sum is 39.

The square root of 1305639093 is about 36133.6282844665. The cubic root of 1305639093 is about 1092.9686749783.

It can be divided in two parts, 130563 and 9093, that added together give a triangular number (139656 = T528).

The spelling of 1305639093 in words is "one billion, three hundred five million, six hundred thirty-nine thousand, ninety-three".

Divisors: 1 3 11 19 33 57 71 139 209 211 213 417 627 633 781 1349 1529 2321 2343 2641 4009 4047 4587 6963 7923 9869 12027 14839 14981 29051 29329 29607 44099 44517 44943 87153 87987 108559 132297 164791 187511 284639 322619 325677 494373 557251 562533 853917 967857 1671753 2062621 2082359 3131029 6129761 6187863 6247077 9393087 18389283 22905949 39564821 68717847 118694463 435213031 1305639093