| Base | Representation |
|---|---|
| bin | 1111101000000… |
| … | …01011001100000 |
| 3 | 100010122102211200 |
| 4 | 13310001121200 |
| 5 | 232023441403 |
| 6 | 21001241200 |
| 7 | 3151066545 |
| oct | 764013140 |
| 9 | 303572750 |
| 10 | 131077728 |
| 11 | 67a98701 |
| 12 | 37a93200 |
| 13 | 212051b2 |
| 14 | 135a0bcc |
| 15 | b792ca3 |
| hex | 7d01660 |
131077728 has 72 divisors (see below), whose sum is σ = 378371448. Its totient is φ = 43034112.
The previous prime is 131077711. The next prime is 131077729. The reversal of 131077728 is 827770131.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 131077692 and 131077701.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131077729) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15900 + ... + 22692.
It is an arithmetic number, because the mean of its divisors is an integer number (5255159).
Almost surely, 2131077728 is an apocalyptic number.
131077728 is a gapful number since it is divisible by the number (18) 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 131077728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189185724).
131077728 is an abundant number, since it is smaller than the sum of its proper divisors (247293720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131077728 is a wasteful number, since it uses less digits than its factorization.
131077728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6876 (or 6865 counting only the distinct ones).
The product of its (nonzero) digits is 16464, while the sum is 36.
The square root of 131077728 is about 11448.9182021709. The cubic root of 131077728 is about 507.9757361259.
The spelling of 131077728 in words is "one hundred thirty-one million, seventy-seven thousand, seven hundred twenty-eight".
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