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131324840 = 2353789997
BaseRepresentation
bin1111101001111…
…01101110101000
3100011002222210222
413310331232220
5232104343330
621010425212
73153146153
oct764755650
9304088728
10131324840
1168147329
1237b92208
132129080a
1413626c9a
15b7e10e5
hex7d3dba8

131324840 has 64 divisors (see below), whose sum is σ = 307184400. Its totient is φ = 50485248.

The previous prime is 131324839. The next prime is 131324849. The reversal of 131324840 is 48423131.

It can be written as a sum of positive squares in 8 ways, for example, as 90288004 + 41036836 = 9502^2 + 6406^2 .

It is not an unprimeable number, because it can be changed into a prime (131324849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131222 + ... + 132218.

Almost surely, 2131324840 is an apocalyptic number.

131324840 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 131324840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153592200).

131324840 is an abundant number, since it is smaller than the sum of its proper divisors (175859560).

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

131324840 is a wasteful number, since it uses less digits than its factorization.

131324840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 131324840 is about 11459.7050572866. The cubic root of 131324840 is about 508.2947532009.

Adding to 131324840 its reverse (48423131), we get a palindrome (179747971).

The spelling of 131324840 in words is "one hundred thirty-one million, three hundred twenty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 89 148 178 185 296 356 370 445 712 740 890 997 1480 1780 1994 3293 3560 3988 4985 6586 7976 9970 13172 16465 19940 26344 32930 36889 39880 65860 73778 88733 131720 147556 177466 184445 295112 354932 368890 443665 709864 737780 887330 1475560 1774660 3283121 3549320 6566242 13132484 16415605 26264968 32831210 65662420 131324840