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1320322014 = 23211109131467
BaseRepresentation
bin100111010110010…
…1000001111011110
310102000102022022100
41032230220033132
510201000301024
6335003025530
744501360214
oct11654501736
93360368270
101320322014
11618318520
1230a20b2a6
13180701b3b
14c74d0cb4
157ada67c9
hex4eb283de

1320322014 has 96 divisors (see below), whose sum is σ = 3180228480. Its totient is φ = 392558400.

The previous prime is 1320322013. The next prime is 1320322039. The reversal of 1320322014 is 4102230231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320322013) 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 47 ways as a sum of consecutive naturals, for example, 2827009 + ... + 2827475.

It is an arithmetic number, because the mean of its divisors is an integer number (33127380).

Almost surely, 21320322014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320322014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590114240).

1320322014 is an abundant number, since it is smaller than the sum of its proper divisors (1859906466).

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

1320322014 is a wasteful number, since it uses less digits than its factorization.

1320322014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1320322014 is about 36336.2355507557. The cubic root of 1320322014 is about 1097.0505044712.

Adding to 1320322014 its reverse (4102230231), we get a palindrome (5422552245).

The spelling of 1320322014 in words is "one billion, three hundred twenty million, three hundred twenty-two thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 109 131 198 218 262 327 393 467 654 786 934 981 1179 1199 1401 1441 1962 2358 2398 2802 2882 3597 4203 4323 5137 7194 8406 8646 10274 10791 12969 14279 15411 21582 25938 28558 30822 42837 46233 50903 61177 85674 92466 101806 122354 128511 152709 157069 183531 257022 305418 314138 367062 458127 471207 550593 559933 672947 916254 942414 1101186 1119866 1345894 1413621 1679799 2018841 2827242 3359598 4037682 5039397 6056523 6668293 10078794 12113046 13336586 20004879 40009758 60014637 73351223 120029274 146702446 220053669 440107338 660161007 1320322014