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131366424 = 2337839421
BaseRepresentation
bin1111101010001…
…11111000011000
3100011012002212010
413311013320120
5232112211144
621011345520
73153411330
oct765077030
9304162763
10131366424
11681755a2
1237bb22a0
13212a6717
14136380c0
15b7ed5b9
hex7d47e18

131366424 has 64 divisors (see below), whose sum is σ = 379895040. Its totient is φ = 37077120.

The previous prime is 131366393. The next prime is 131366441. The reversal of 131366424 is 424663131.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 131366391 and 131366400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9234 + ... + 18654.

It is an arithmetic number, because the mean of its divisors is an integer number (5935860).

Almost surely, 2131366424 is an apocalyptic number.

131366424 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 131366424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189947520).

131366424 is an abundant number, since it is smaller than the sum of its proper divisors (248528616).

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

131366424 is a wasteful number, since it uses less digits than its factorization.

131366424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9520 (or 9516 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 131366424 is about 11461.5192710216. The cubic root of 131366424 is about 508.3483980366.

The spelling of 131366424 in words is "one hundred thirty-one million, three hundred sixty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 83 84 166 168 249 332 498 581 664 996 1162 1743 1992 2324 3486 4648 6972 9421 13944 18842 28263 37684 56526 65947 75368 113052 131894 197841 226104 263788 395682 527576 781943 791364 1563886 1582728 2345829 3127772 4691658 5473601 6255544 9383316 10947202 16420803 18766632 21894404 32841606 43788808 65683212 131366424