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131326320 = 24352337643
BaseRepresentation
bin1111101001111…
…10000101110000
3100011010001211210
413310332011300
5232104420240
621010440120
73153153366
oct764760560
9304101753
10131326320
1168148454
1237b93040
13212913a8
1413627636
15b7e1780
hex7d3e170

131326320 has 160 divisors (see below), whose sum is σ = 436972032. Its totient is φ = 32541696.

The previous prime is 131326301. The next prime is 131326337. The reversal of 131326320 is 23623131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203919 + ... + 204561.

Almost surely, 2131326320 is an apocalyptic number.

131326320 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 131326320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218486016).

131326320 is an abundant number, since it is smaller than the sum of its proper divisors (305645712).

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

131326320 is a wasteful number, since it uses less digits than its factorization.

131326320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 131326320 is about 11459.7696311924. The cubic root of 131326320 is about 508.2966626478.

Adding to 131326320 its reverse (23623131), we get a palindrome (154949451).

The spelling of 131326320 in words is "one hundred thirty-one million, three hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 37 40 46 48 60 69 74 80 92 111 115 120 138 148 184 185 222 230 240 276 296 345 368 370 444 460 552 555 592 643 690 740 851 888 920 1104 1110 1286 1380 1480 1702 1776 1840 1929 2220 2553 2572 2760 2960 3215 3404 3858 4255 4440 5106 5144 5520 6430 6808 7716 8510 8880 9645 10212 10288 12765 12860 13616 14789 15432 17020 19290 20424 23791 25530 25720 29578 30864 34040 38580 40848 44367 47582 51060 51440 59156 68080 71373 73945 77160 88734 95164 102120 118312 118955 142746 147890 154320 177468 190328 204240 221835 236624 237910 285492 295780 354936 356865 380656 443670 475820 547193 570984 591560 709872 713730 887340 951640 1094386 1141968 1183120 1427460 1641579 1774680 1903280 2188772 2735965 2854920 3283158 3549360 4377544 5471930 5709840 6566316 8207895 8755088 10943860 13132632 16415790 21887720 26265264 32831580 43775440 65663160 131326320