Search a number
-
+
13071960 = 23325113301
BaseRepresentation
bin110001110111…
…011001011000
3220121010100200
4301313121120
511321300320
61144102200
7216052446
oct61673130
926533320
1013071960
117419180
124464960
132928bb5
141a43b96
151233290
hexc77658

13071960 has 96 divisors (see below), whose sum is σ = 46360080. Its totient is φ = 3168000.

The previous prime is 13071941. The next prime is 13071967. The reversal of 13071960 is 6917031.

It is a super-2 number, since 2×130719602 = 341752276483200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13071967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2310 + ... + 5610.

Almost surely, 213071960 is an apocalyptic number.

13071960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13071960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23180040).

13071960 is an abundant number, since it is smaller than the sum of its proper divisors (33288120).

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

13071960 is a wasteful number, since it uses less digits than its factorization.

13071960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3329 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 13071960 is about 3615.5165606038. The cubic root of 13071960 is about 235.5665221085.

Adding to 13071960 its reverse (6917031), we get a palindrome (19988991).

The spelling of 13071960 in words is "thirteen million, seventy-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3301 3960 6602 9903 13204 16505 19806 26408 29709 33010 36311 39612 49515 59418 66020 72622 79224 99030 108933 118836 132040 145244 148545 181555 198060 217866 237672 290488 297090 326799 363110 396120 435732 544665 594180 653598 726220 871464 1089330 1188360 1307196 1452440 1633995 2178660 2614392 3267990 4357320 6535980 13071960