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131371376 = 24173111553
BaseRepresentation
bin1111101010010…
…01000101110000
3100011012100122112
413311021011300
5232112341001
621011424452
73153431633
oct765110560
9304170575
10131371376
1168179294
1237bb5128
13212a8a56
1413639c1a
15b7eecbb
hex7d49170

131371376 has 40 divisors (see below), whose sum is σ = 270545184. Its totient is φ = 61583360.

The previous prime is 131371367. The next prime is 131371379. The reversal of 131371376 is 673173131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131371379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83816 + ... + 85368.

Almost surely, 2131371376 is an apocalyptic number.

131371376 is a gapful number since it is divisible by the number (16) 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 131371376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135272592).

131371376 is an abundant number, since it is smaller than the sum of its proper divisors (139173808).

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

131371376 is a wasteful number, since it uses less digits than its factorization.

131371376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1883 counting only the distinct ones).

The product of its digits is 7938, while the sum is 32.

The square root of 131371376 is about 11461.7352961932. The cubic root of 131371376 is about 508.3547855380.

The spelling of 131371376 in words is "one hundred thirty-one million, three hundred seventy-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 311 622 1244 1553 2488 3106 4976 5287 6212 10574 12424 21148 24848 26401 42296 52802 84592 105604 211208 422416 482983 965966 1931932 3863864 7727728 8210711 16421422 32842844 65685688 131371376