Search a number
-
+
1306533316 = 22112312532
BaseRepresentation
bin100110111100000…
…0001110111000100
310101001110202202211
41031320001313010
510133433031231
6333351313204
744243231014
oct11570016704
93331422684
101306533316
1161055a900
1230567b804
1317a8b494a
14c5741c44
1579a80eb1
hex4de01dc4

1306533316 has 81 divisors (see below), whose sum is σ = 2646794829. Its totient is φ = 563877600.

The previous prime is 1306533301. The next prime is 1306533329. The reversal of 1306533316 is 6133356031.

The square root of 1306533316 is 36146.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 941876100 + 364657216 = 30690^2 + 19096^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24651546 + ... + 24651598.

Almost surely, 21306533316 is an apocalyptic number.

1306533316 is the 36146-th square number.

It is an amenable number.

1306533316 is an abundant number, since it is smaller than the sum of its proper divisors (1340261513).

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

1306533316 is a wasteful number, since it uses less digits than its factorization.

1306533316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 31.

The cubic root of 1306533316 is about 1093.2181402119.

Adding to 1306533316 its reverse (6133356031), we get a palindrome (7439889347).

The spelling of 1306533316 in words is "one billion, three hundred six million, five hundred thirty-three thousand, three hundred sixteen".

Divisors: 1 2 4 11 22 31 44 53 62 106 121 124 212 242 341 484 583 682 961 1166 1364 1643 1922 2332 2809 3286 3751 3844 5618 6413 6572 7502 10571 11236 12826 15004 18073 21142 25652 30899 36146 42284 50933 61798 72292 87079 101866 116281 123596 174158 198803 203732 232562 339889 348316 397606 465124 560263 679778 795212 957869 1120526 1359556 1915738 2241052 2699449 3831476 5398898 6162893 10536559 10797796 12325786 21073118 24651572 29693939 42146236 59387878 118775756 326633329 653266658 1306533316