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1300664145 = 3511233759157
BaseRepresentation
bin100110110000110…
…1000111101010001
310100122102120210010
41031201220331101
510130432223040
6333021425133
744142314514
oct11541507521
93318376703
101300664145
11608211250
1230370b1a9
1317960b371
14c4a54d7b
15792c1e80
hex4d868f51

1300664145 has 128 divisors (see below), whose sum is σ = 2489978880. Its totient is φ = 573281280.

The previous prime is 1300664119. The next prime is 1300664159. The reversal of 1300664145 is 5414660031.

It is not a de Polignac number, because 1300664145 - 29 = 1300663633 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8284407 + ... + 8284563.

It is an arithmetic number, because the mean of its divisors is an integer number (19452960).

Almost surely, 21300664145 is an apocalyptic number.

1300664145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1300664145 is a deficient number, since it is larger than the sum of its proper divisors (1189314735).

1300664145 is a wasteful number, since it uses less digits than its factorization.

1300664145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1300664145 is about 36064.7216126785. The cubic root of 1300664145 is about 1091.5787086317.

The spelling of 1300664145 in words is "one billion, three hundred million, six hundred sixty-four thousand, one hundred forty-five".

Divisors: 1 3 5 11 15 23 33 37 55 59 69 111 115 157 165 177 185 253 295 345 407 471 555 649 759 785 851 885 1221 1265 1357 1727 1947 2035 2183 2355 2553 3245 3611 3795 4071 4255 5181 5809 6105 6549 6785 8635 9263 9361 9735 10833 10915 12765 14927 17427 18055 20355 24013 25905 27789 28083 29045 32745 39721 44781 46315 46805 50209 54165 63899 72039 74635 87135 101893 119163 120065 133607 138945 140415 150627 191697 198605 213049 223905 251045 305679 319495 342731 360195 400821 509465 552299 595815 639147 668035 753135 958485 1028193 1065245 1469677 1528395 1656897 1713655 2004105 2343539 2761495 3195735 3770041 4409031 5140965 7030617 7348385 7882813 8284485 11310123 11717695 18850205 22045155 23648439 35153085 39414065 56550615 86710943 118242195 260132829 433554715 1300664145