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131036040 = 23325363989
BaseRepresentation
bin1111100111101…
…11001110001000
3100010120022122200
413303313032020
5232021123130
621000320200
73150534162
oct763671610
9303508580
10131036040
1167a6a353
1237a73060
13211bc225
141358d932
15b785760
hex7cf7388

131036040 has 48 divisors (see below), whose sum is σ = 425868300. Its totient is φ = 34942848.

The previous prime is 131036029. The next prime is 131036053. The reversal of 131036040 is 40630131.

It can be written as a sum of positive squares in 2 ways, for example, as 128731716 + 2304324 = 11346^2 + 1518^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181635 + ... + 182354.

Almost surely, 2131036040 is an apocalyptic number.

131036040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131036040 is an abundant number, since it is smaller than the sum of its proper divisors (294832260).

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

131036040 is a wasteful number, since it uses less digits than its factorization.

131036040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364006 (or 363999 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131036040 is about 11447.0974486985. The cubic root of 131036040 is about 507.9218781639.

Adding to 131036040 its reverse (40630131), we get a palindrome (171666171).

It can be divided in two parts, 1 and 31036040, that added together give a square (31036041 = 55712).

The spelling of 131036040 in words is "one hundred thirty-one million, thirty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 363989 727978 1091967 1455956 1819945 2183934 2911912 3275901 3639890 4367868 5459835 6551802 7279780 8735736 10919670 13103604 14559560 16379505 21839340 26207208 32759010 43678680 65518020 131036040