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131478282 = 23313214407
BaseRepresentation
bin1111101011000…
…11001100001010
3100011101210022000
413311203030022
5232124301112
621014011430
73154355415
oct765431412
9304353260
10131478282
1168241641
1238046b76
1321315600
1413666b7c
15b8217dc
hex7d6330a

131478282 has 48 divisors (see below), whose sum is σ = 316399680. Its totient is φ = 40452048.

The previous prime is 131478251. The next prime is 131478287. The reversal of 131478282 is 282874131.

It is not an unprimeable number, because it can be changed into a prime (131478287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1923 + ... + 16329.

It is an arithmetic number, because the mean of its divisors is an integer number (6591660).

Almost surely, 2131478282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131478282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158199840).

131478282 is an abundant number, since it is smaller than the sum of its proper divisors (184921398).

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

131478282 is a wasteful number, since it uses less digits than its factorization.

131478282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14444 (or 14425 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 131478282 is about 11466.3979522778. The cubic root of 131478282 is about 508.4926426655.

The spelling of 131478282 in words is "one hundred thirty-one million, four hundred seventy-eight thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 507 702 1014 1521 3042 4563 9126 14407 28814 43221 86442 129663 187291 259326 374582 388989 561873 777978 1123746 1685619 2434783 3371238 4869566 5056857 7304349 10113714 14608698 21913047 43826094 65739141 131478282