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131798142 = 23272237389
BaseRepresentation
bin1111101101100…
…01010001111110
3100012000001001200
413312301101332
5232220020032
621024520330
73160160100
oct766612176
9305001050
10131798142
116843a993
12381800a6
13213c8088
141370b570
15b88647c
hex7db147e

131798142 has 144 divisors (see below), whose sum is σ = 355324320. Its totient is φ = 35126784.

The previous prime is 131798131. The next prime is 131798167. The reversal of 131798142 is 241897131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131798097 and 131798106.

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 71 ways as a sum of consecutive naturals, for example, 1480834 + ... + 1480922.

It is an arithmetic number, because the mean of its divisors is an integer number (2467530).

Almost surely, 2131798142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131798142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177662160).

131798142 is an abundant number, since it is smaller than the sum of its proper divisors (223526178).

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

131798142 is a wasteful number, since it uses less digits than its factorization.

131798142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 197 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 131798142 is about 11480.3371901700. The cubic root of 131798142 is about 508.9046618901.

It can be divided in two parts, 13179 and 8142, that added together give a triangular number (21321 = T206).

The spelling of 131798142 in words is "one hundred thirty-one million, seven hundred ninety-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 73 89 98 126 138 146 147 161 178 207 219 267 294 322 414 438 441 483 511 534 623 657 801 882 966 1022 1127 1246 1314 1449 1533 1602 1679 1869 2047 2254 2898 3066 3358 3381 3577 3738 4094 4361 4599 5037 5607 6141 6497 6762 7154 8722 9198 10074 10143 10731 11214 11753 12282 12994 13083 14329 15111 18423 19491 20286 21462 23506 26166 28658 30222 32193 35259 36846 38982 39249 42987 45479 58473 64386 70518 78498 82271 85974 90958 100303 105777 116946 128961 136437 149431 164542 200606 211554 246813 257922 272874 298862 300909 318353 409311 448293 493626 601818 636706 740439 818622 896586 902727 955059 1046017 1344879 1480878 1805454 1910118 2092034 2689758 2865177 3138051 5730354 6276102 7322119 9414153 14644238 18828306 21966357 43932714 65899071 131798142