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131274 = 233111317
BaseRepresentation
bin100000000011001010
320200002000
4200003022
513200044
62451430
71054503
oct400312
9220060
10131274
118a6a0
1263b76
13479a0
1435baa
1528d69
hex200ca

131274 has 64 divisors (see below), whose sum is σ = 362880. Its totient is φ = 34560.

The previous prime is 131267. The next prime is 131293. The reversal of 131274 is 472131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7714 + ... + 7730.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2131274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

131274 is an abundant number, since it is smaller than the sum of its proper divisors (231606).

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

131274 is a wasteful number, since it uses less digits than its factorization.

131274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 46 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 131274 is about 362.3175402875. The cubic root of 131274 is about 50.8229152409.

It can be divided in two parts, 13127 and 4, that added together give a palindrome (13131).

The spelling of 131274 in words is "one hundred thirty-one thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 11 13 17 18 22 26 27 33 34 39 51 54 66 78 99 102 117 143 153 187 198 221 234 286 297 306 351 374 429 442 459 561 594 663 702 858 918 1122 1287 1326 1683 1989 2431 2574 3366 3861 3978 4862 5049 5967 7293 7722 10098 11934 14586 21879 43758 65637 131274