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131439726 = 23311792801
BaseRepresentation
bin1111101010110…
…01110001101110
3100011022211102000
413311121301232
5232122032401
621013113130
73154135125
oct765316156
9304284360
10131439726
1168215680
12380287a6
1321300bb2
1413656abc
15b815186
hex7d59c6e

131439726 has 64 divisors (see below), whose sum is σ = 322790400. Its totient is φ = 39312000.

The previous prime is 131439709. The next prime is 131439731. The reversal of 131439726 is 627934131.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 45526 + ... + 48326.

It is an arithmetic number, because the mean of its divisors is an integer number (5043600).

Almost surely, 2131439726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131439726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161395200).

131439726 is an abundant number, since it is smaller than the sum of its proper divisors (191350674).

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

131439726 is a wasteful number, since it uses less digits than its factorization.

131439726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902 (or 2896 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 131439726 is about 11464.7165686728. The cubic root of 131439726 is about 508.4429326582.

The spelling of 131439726 in words is "one hundred thirty-one million, four hundred thirty-nine thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 79 99 158 198 237 297 474 594 711 869 1422 1738 2133 2607 2801 4266 5214 5602 7821 8403 15642 16806 23463 25209 30811 46926 50418 61622 75627 92433 151254 184866 221279 277299 442558 554598 663837 831897 1327674 1663794 1991511 2434069 3983022 4868138 5974533 7302207 11949066 14604414 21906621 43813242 65719863 131439726