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132543216 = 2434137867
BaseRepresentation
bin1111110011001…
…11001011110000
3100020101220010000
413321213023300
5232412340331
621052510000
73166412241
oct771471360
9306356100
10132543216
11688a9753
123847b300
13215c9250
1413862cc8
15b9820e6
hex7e672f0

132543216 has 100 divisors (see below), whose sum is σ = 413180152. Its totient is φ = 40777344.

The previous prime is 132543211. The next prime is 132543289. The reversal of 132543216 is 612345231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 132543216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132543211) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12915 + ... + 20781.

Almost surely, 2132543216 is an apocalyptic number.

132543216 is a gapful number since it is divisible by the number (16) 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 132543216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206590076).

132543216 is an abundant number, since it is smaller than the sum of its proper divisors (280636936).

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

132543216 is a wasteful number, since it uses less digits than its factorization.

132543216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7900 (or 7885 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 132543216 is about 11512.7414632658. The cubic root of 132543216 is about 509.8618310828.

Adding to 132543216 its reverse (612345231), we get a palindrome (744888447).

The spelling of 132543216 in words is "one hundred thirty-two million, five hundred forty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 7867 8424 15734 16848 23601 31468 47202 62936 70803 94404 102271 125872 141606 188808 204542 212409 283212 306813 377616 409084 424818 566424 613626 637227 818168 849636 920439 1132848 1227252 1274454 1636336 1699272 1840878 2454504 2548908 2761317 3398544 3681756 4909008 5097816 5522634 7363512 8283951 10195632 11045268 14727024 16567902 22090536 33135804 44181072 66271608 132543216