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131426550 = 2355229373
BaseRepresentation
bin1111101010101…
…10100011110110
3100011022011100000
413311112203312
5232121122200
621012532130
73154051533
oct765264366
9304264300
10131426550
1168206792
1238021046
13212c7bb8
1413651d8a
15b811300
hex7d568f6

131426550 has 144 divisors (see below), whose sum is σ = 379819440. Its totient is φ = 33747840.

The previous prime is 131426549. The next prime is 131426551. The reversal of 131426550 is 55624131.

131426550 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 2 + 655 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (131426549) and next prime (131426551).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131426551) 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 71 ways as a sum of consecutive naturals, for example, 352164 + ... + 352536.

It is an arithmetic number, because the mean of its divisors is an integer number (2637635).

Almost surely, 2131426550 is an apocalyptic number.

131426550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131426550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189909720).

131426550 is an abundant number, since it is smaller than the sum of its proper divisors (248392890).

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

131426550 is a wasteful number, since it uses less digits than its factorization.

131426550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 131426550 is about 11464.1419216616. The cubic root of 131426550 is about 508.4259426960.

The spelling of 131426550 in words is "one hundred thirty-one million, four hundred twenty-six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 29 30 45 50 54 58 75 81 87 90 135 145 150 162 174 225 243 261 270 290 373 405 435 450 486 522 675 725 746 783 810 870 1119 1215 1305 1350 1450 1566 1865 2025 2175 2238 2349 2430 2610 3357 3730 3915 4050 4350 4698 5595 6075 6525 6714 7047 7830 9325 10071 10817 11190 11745 12150 13050 14094 16785 18650 19575 20142 21634 23490 27975 30213 32451 33570 35235 39150 50355 54085 55950 58725 60426 64902 70470 83925 90639 97353 100710 108170 117450 151065 162255 167850 176175 181278 194706 251775 270425 292059 302130 324510 352350 453195 486765 503550 540850 584118 755325 811275 876177 906390 973530 1460295 1510650 1622550 1752354 2265975 2433825 2628531 2920590 4380885 4531950 4867650 5257062 7301475 8761770 13142655 14602950 21904425 26285310 43808850 65713275 131426550