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1307672505 = 3457734177
BaseRepresentation
bin100110111110001…
…0111111110111001
310101010121122110000
41031330113332321
510134231010010
6333431543213
744256014166
oct11574277671
93333548400
101307672505
11611168787
12305b2ab09
1317abc3319
14c595b06d
1579c087c0
hex4df17fb9

1307672505 has 40 divisors (see below), whose sum is σ = 2347718472. Its totient is φ = 696356352.

The previous prime is 1307672497. The next prime is 1307672591. The reversal of 1307672505 is 5052767031.

1307672505 is a `hidden beast` number, since 13 + 0 + 76 + 72 + 505 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 121352256 + 1186320249 = 11016^2 + 34443^2 .

It is not a de Polignac number, because 1307672505 - 23 = 1307672497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1307672505.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 310977 + ... + 315153.

Almost surely, 21307672505 is an apocalyptic number.

1307672505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1307672505 is a deficient number, since it is larger than the sum of its proper divisors (1040045967).

1307672505 is an equidigital number, since it uses as much as digits as its factorization.

1307672505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4967 (or 4958 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 1307672505 is about 36161.7547278890. The cubic root of 1307672505 is about 1093.5357798473.

The spelling of 1307672505 in words is "one billion, three hundred seven million, six hundred seventy-two thousand, five hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 773 2319 3865 4177 6957 11595 12531 20871 20885 34785 37593 62613 62655 104355 112779 187965 313065 338337 563895 1691685 3228821 9686463 16144105 29059389 48432315 87178167 145296945 261534501 435890835 1307672505