Search a number
-
+
1306686960 = 243251814843
BaseRepresentation
bin100110111100010…
…0111010111110000
310101001202120112100
41031320213113300
510134002440320
6333354500400
744244440655
oct11570472760
93331676470
101306686960
11610655287
12305734700
1317a939867
14c5781c2c
1579ab1790
hex4de275f0

1306686960 has 60 divisors (see below), whose sum is σ = 4388292792. Its totient is φ = 348449664.

The previous prime is 1306686949. The next prime is 1306686961. The reversal of 1306686960 is 696866031.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×13066869602 = 3414861622868083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306686961) 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 11 ways as a sum of consecutive naturals, for example, 906702 + ... + 908141.

Almost surely, 21306686960 is an apocalyptic number.

1306686960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1306686960 is an abundant number, since it is smaller than the sum of its proper divisors (3081605832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1306686960 is a wasteful number, since it uses less digits than its factorization.

1306686960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814862 (or 1814853 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 1306686960 is about 36148.1252625914. The cubic root of 1306686960 is about 1093.2609914790.

The spelling of 1306686960 in words is "one billion, three hundred six million, six hundred eighty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1814843 3629686 5444529 7259372 9074215 10889058 14518744 16333587 18148430 21778116 27222645 29037488 32667174 36296860 43556232 54445290 65334348 72593720 81667935 87112464 108890580 130668696 145187440 163335870 217781160 261337392 326671740 435562320 653343480 1306686960