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131943084 = 223721341421
BaseRepresentation
bin1111101110101…
…00101010101100
3100012021101212220
413313110222230
5232234134314
621031555340
73161332500
oct767245254
9305241786
10131943084
1168529879
123822bb50
1321449040
1413748300
15b8b43a9
hex7dd4aac

131943084 has 144 divisors (see below), whose sum is σ = 396025056. Its totient is φ = 33868800.

The previous prime is 131943059. The next prime is 131943089. The reversal of 131943084 is 480349131.

131943084 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

131943084 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (131943089) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313194 + ... + 313614.

It is an arithmetic number, because the mean of its divisors is an integer number (2750174).

Almost surely, 2131943084 is an apocalyptic number.

131943084 is a gapful number since it is divisible by the number (14) 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 131943084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198012528).

131943084 is an abundant number, since it is smaller than the sum of its proper divisors (264081972).

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

131943084 is a wasteful number, since it uses less digits than its factorization.

131943084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 131943084 is about 11486.6480750478. The cubic root of 131943084 is about 509.0911456438.

The spelling of 131943084 in words is "one hundred thirty-one million, nine hundred forty-three thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 41 42 49 52 78 82 84 91 98 123 147 156 164 182 196 246 273 287 294 364 421 492 533 546 574 588 637 842 861 1066 1092 1148 1263 1274 1599 1684 1722 1911 2009 2132 2526 2548 2947 3198 3444 3731 3822 4018 5052 5473 5894 6027 6396 7462 7644 8036 8841 10946 11193 11788 12054 14924 16419 17261 17682 20629 21892 22386 24108 26117 32838 34522 35364 38311 41258 44772 51783 52234 61887 65676 69044 76622 78351 82516 103566 104468 114933 120827 123774 153244 156702 207132 224393 229866 241654 247548 268177 313404 362481 448786 459732 483308 536354 673179 724962 804531 845789 897572 1072708 1346358 1449924 1570751 1609062 1691578 2537367 2692716 3141502 3218124 3383156 4712253 5074734 6283004 9424506 10149468 10995257 18849012 21990514 32985771 43981028 65971542 131943084