Base | Representation |
---|---|
bin | 1111101101001… |
… | …10110100011000 |
3 | 100011220212021111 |
4 | 13312212310120 |
5 | 232212132123 |
6 | 21023550104 |
7 | 3156621130 |
oct | 766466430 |
9 | 304825244 |
10 | 131755288 |
11 | 68410775 |
12 | 3815b334 |
13 | 213b1712 |
14 | 136d9ac0 |
15 | b87890d |
hex | 7da6d18 |
131755288 has 64 divisors (see below), whose sum is σ = 291548160. Its totient is φ = 54652416.
The previous prime is 131755259. The next prime is 131755307. The reversal of 131755288 is 882557131.
It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.
It is a self number, because there is not a number n which added to its sum of digits gives 131755288.
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, 297195 + ... + 297637.
It is an arithmetic number, because the mean of its divisors is an integer number (4555440).
Almost surely, 2131755288 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131755288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145774080).
131755288 is an abundant number, since it is smaller than the sum of its proper divisors (159792872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131755288 is a wasteful number, since it uses less digits than its factorization.
131755288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 616 (or 612 counting only the distinct ones).
The product of its digits is 67200, while the sum is 40.
The square root of 131755288 is about 11478.4706298357. The cubic root of 131755288 is about 508.8494993408.
The spelling of 131755288 in words is "one hundred thirty-one million, seven hundred fifty-five thousand, two hundred eighty-eight".
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