Search a number
-
+
131543360 = 26513103307
BaseRepresentation
bin1111101011100…
…11000101000000
3100011112002120022
413311303011000
5232133341420
621015233012
73155046224
oct765630500
9304462508
10131543360
1168286523
1238078768
1321339110
1413682784
15b835c25
hex7d73140

131543360 has 112 divisors (see below), whose sum is σ = 341717376. Its totient is φ = 47941632.

The previous prime is 131543353. The next prime is 131543369. The reversal of 131543360 is 63345131.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131543369) 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 15 ways as a sum of consecutive naturals, for example, 428327 + ... + 428633.

It is an arithmetic number, because the mean of its divisors is an integer number (3051048).

Almost surely, 2131543360 is an apocalyptic number.

131543360 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 131543360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170858688).

131543360 is an abundant number, since it is smaller than the sum of its proper divisors (210174016).

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

131543360 is a wasteful number, since it uses less digits than its factorization.

131543360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 131543360 is about 11469.2353712006. The cubic root of 131543360 is about 508.5765252794.

Adding to 131543360 its reverse (63345131), we get a palindrome (194888491).

The spelling of 131543360 in words is "one hundred thirty-one million, five hundred forty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 103 104 130 160 206 208 260 307 320 412 416 515 520 614 824 832 1030 1040 1228 1339 1535 1648 2060 2080 2456 2678 3070 3296 3991 4120 4160 4912 5356 6140 6592 6695 7982 8240 9824 10712 12280 13390 15964 16480 19648 19955 21424 24560 26780 31621 31928 32960 39910 42848 49120 53560 63242 63856 79820 85696 98240 107120 126484 127712 158105 159640 214240 252968 255424 316210 319280 411073 428480 505936 632420 638560 822146 1011872 1264840 1277120 1644292 2023744 2055365 2529680 3288584 4110730 5059360 6577168 8221460 10118720 13154336 16442920 26308672 32885840 65771680 131543360