Search a number
-
+
131304000 = 263535471
BaseRepresentation
bin1111101001110…
…00101001000000
3100011001221020010
413310320221000
5232103212000
621010144520
73153031332
oct764705100
9304057203
10131304000
1168132703
1237b82140
1321284199
141361d452
15b7d9d50
hex7d38a40

131304000 has 112 divisors (see below), whose sum is σ = 433645056. Its totient is φ = 35008000.

The previous prime is 131303999. The next prime is 131304007. The reversal of 131304000 is 403131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (131304007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21265 + ... + 26735.

Almost surely, 2131304000 is an apocalyptic number.

131304000 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 131304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216822528).

131304000 is an abundant number, since it is smaller than the sum of its proper divisors (302341056).

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

131304000 is an equidigital number, since it uses as much as digits as its factorization.

131304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5501 (or 5481 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 131304000 is about 11458.7957482451. The cubic root of 131304000 is about 508.2678646015.

Adding to 131304000 its reverse (403131), we get a palindrome (131707131).

The spelling of 131304000 in words is "one hundred thirty-one million, three hundred four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 5471 6000 8000 10942 12000 16413 21884 24000 27355 32826 43768 54710 65652 82065 87536 109420 131304 136775 164130 175072 218840 262608 273550 328260 350144 410325 437680 525216 547100 656520 683875 820650 875360 1050432 1094200 1313040 1367750 1641300 1750720 2051625 2188400 2626080 2735500 3282600 4103250 4376800 5252160 5471000 6565200 8206500 8753600 10942000 13130400 16413000 21884000 26260800 32826000 43768000 65652000 131304000