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131324440 = 23513713557
BaseRepresentation
bin1111101001111…
…01101000011000
3100011002222021011
413310331220120
5232104340230
621010423304
73153145042
oct764755030
9304088234
10131324440
1168146aa5
1237b91b34
1321290590
1413626a92
15b7e0e2a
hex7d3da18

131324440 has 64 divisors (see below), whose sum is σ = 322781760. Its totient is φ = 47792640.

The previous prime is 131324429. The next prime is 131324443. The reversal of 131324440 is 44423131.

It is a super-2 number, since 2×1313244402 = 34492217082627200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131324443) 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, 35142 + ... + 38698.

It is an arithmetic number, because the mean of its divisors is an integer number (5043465).

Almost surely, 2131324440 is an apocalyptic number.

131324440 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 131324440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161390880).

131324440 is an abundant number, since it is smaller than the sum of its proper divisors (191457320).

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

131324440 is a wasteful number, since it uses less digits than its factorization.

131324440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3652 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 131324440 is about 11459.6876048172. The cubic root of 131324440 is about 508.2942371317.

Adding to 131324440 its reverse (44423131), we get a palindrome (175747571).

The spelling of 131324440 in words is "one hundred thirty-one million, three hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 71 104 130 142 260 284 355 520 568 710 923 1420 1846 2840 3557 3692 4615 7114 7384 9230 14228 17785 18460 28456 35570 36920 46241 71140 92482 142280 184964 231205 252547 369928 462410 505094 924820 1010188 1262735 1849640 2020376 2525470 3283111 5050940 6566222 10101880 13132444 16415555 26264888 32831110 65662220 131324440