Search a number
-
+
1053508309 = 71731347823
BaseRepresentation
bin111110110010110…
…100001011010101
32201102100202201021
4332302310023111
54124144231214
6252312201141
735051446540
oct7662641325
92642322637
101053508309
114a0750427
122549991b1
1313a3533c9
149dcb9857
1562750924
hex3ecb42d5

1053508309 has 32 divisors (see below), whose sum is σ = 1321353216. Its totient is φ = 819106560.

The previous prime is 1053508303. The next prime is 1053508321. The reversal of 1053508309 is 9038053501.

It is a cyclic number.

It is not a de Polignac number, because 1053508309 - 29 = 1053507797 is a prime.

It is a super-2 number, since 2×10535083092 = 2219759514264078962, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053508303) 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 31 ways as a sum of consecutive naturals, for example, 1279672 + ... + 1280494.

It is an arithmetic number, because the mean of its divisors is an integer number (41292288).

Almost surely, 21053508309 is an apocalyptic number.

It is an amenable number.

1053508309 is a deficient number, since it is larger than the sum of its proper divisors (267844907).

1053508309 is a wasteful number, since it uses less digits than its factorization.

1053508309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225.

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 1053508309 is about 32457.7927314844. The cubic root of 1053508309 is about 1017.5271086878.

The spelling of 1053508309 in words is "one billion, fifty-three million, five hundred eight thousand, three hundred nine".

Divisors: 1 7 17 31 119 217 347 527 823 2429 3689 5761 5899 10757 13991 25513 41293 75299 97937 178591 182869 285581 433721 1280083 1999067 3036047 4854877 8853011 33984139 61971077 150501187 1053508309