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131426712 = 23341271597
BaseRepresentation
bin1111101010101…
…10100110011000
3100011022011120000
413311112212120
5232121123322
621012533000
73154052154
oct765264630
9304264500
10131426712
116820691a
1238021160
13212c7cb1
1413652064
15b8113ac
hex7d56998

131426712 has 80 divisors (see below), whose sum is σ = 371247360. Its totient is φ = 43436736.

The previous prime is 131426693. The next prime is 131426719. The reversal of 131426712 is 217624131.

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 (131426719) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 81498 + ... + 83094.

It is an arithmetic number, because the mean of its divisors is an integer number (4640592).

Almost surely, 2131426712 is an apocalyptic number.

131426712 is a gapful number since it is divisible by the number (12) 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 131426712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185623680).

131426712 is an abundant number, since it is smaller than the sum of its proper divisors (239820648).

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

131426712 is a wasteful number, since it uses less digits than its factorization.

131426712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1729 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 131426712 is about 11464.1489871687. The cubic root of 131426712 is about 508.4261515959.

The spelling of 131426712 in words is "one hundred thirty-one million, four hundred twenty-six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 127 162 216 254 324 381 508 648 762 1016 1143 1524 1597 2286 3048 3194 3429 4572 4791 6388 6858 9144 9582 10287 12776 13716 14373 19164 20574 27432 28746 38328 41148 43119 57492 82296 86238 114984 129357 172476 202819 258714 344952 405638 517428 608457 811276 1034856 1216914 1622552 1825371 2433828 3650742 4867656 5476113 7301484 10952226 14602968 16428339 21904452 32856678 43808904 65713356 131426712