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131320832 = 210257499
BaseRepresentation
bin1111101001111…
…00110000000000
3100011002210022112
413310330300000
5232104231312
621010354452
73153131366
oct764746000
9304083275
10131320832
1168144315
1237b8ba28
132128ba46
1413625636
15b7ded22
hex7d3cc00

131320832 has 44 divisors (see below), whose sum is σ = 264063000. Its totient is φ = 65273856.

The previous prime is 131320817. The next prime is 131320841. The reversal of 131320832 is 238023131.

It is a junction number, because it is equal to n+sod(n) for n = 131320798 and 131320807.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 262919 + ... + 263417.

Almost surely, 2131320832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131320832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132031500).

131320832 is an abundant number, since it is smaller than the sum of its proper divisors (132742168).

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

131320832 is an equidigital number, since it uses as much as digits as its factorization.

131320832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 131320832 is about 11459.5301823417. The cubic root of 131320832 is about 508.2895821404.

Adding to 131320832 its reverse (238023131), we get a palindrome (369343963).

The spelling of 131320832 in words is "one hundred thirty-one million, three hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 257 499 512 514 998 1024 1028 1996 2056 3992 4112 7984 8224 15968 16448 31936 32896 63872 65792 127744 128243 131584 255488 256486 263168 510976 512972 1025944 2051888 4103776 8207552 16415104 32830208 65660416 131320832