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131404 = 22713192
BaseRepresentation
bin100000000101001100
320200020211
4200011030
513201104
62452204
71055050
oct400514
9220224
10131404
118a7a9
1264064
1347a70
1435c60
1528e04
hex2014c

131404 has 36 divisors (see below), whose sum is σ = 298704. Its totient is φ = 49248.

The previous prime is 131381. The next prime is 131413. The reversal of 131404 is 404131.

It is a super-2 number, since 2×1314042 = 34534022432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

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 11 ways as a sum of consecutive naturals, for example, 6907 + ... + 6925.

2131404 is an apocalyptic number.

131404 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 131404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149352).

131404 is an abundant number, since it is smaller than the sum of its proper divisors (167300).

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

131404 is a wasteful number, since it uses less digits than its factorization.

131404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 131404 is about 362.4968965384. The cubic root of 131404 is about 50.8396862674.

Adding to 131404 its reverse (404131), we get a palindrome (535535).

It can be divided in two parts, 131 and 404, that added together give a palindrome (535).

The spelling of 131404 in words is "one hundred thirty-one thousand, four hundred four".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 182 247 266 361 364 494 532 722 988 1444 1729 2527 3458 4693 5054 6916 9386 10108 18772 32851 65702 131404