Base | Representation |
---|---|
bin | 1111101010001… |
… | …00111010010000 |
3 | 100011011111011110 |
4 | 13311010322100 |
5 | 232111314011 |
6 | 21011213320 |
7 | 3153331005 |
oct | 765047220 |
9 | 304144143 |
10 | 131354256 |
11 | 68167440 |
12 | 37ba7240 |
13 | 212a1017 |
14 | 136338ac |
15 | b7e9ba6 |
hex | 7d44e90 |
131354256 has 80 divisors (see below), whose sum is σ = 372386880. Its totient is φ = 39567360.
The previous prime is 131354243. The next prime is 131354269. The reversal of 131354256 is 652453131.
It is an interprime number because it is at equal distance from previous prime (131354243) and next prime (131354269).
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 101260 + ... + 102548.
It is an arithmetic number, because the mean of its divisors is an integer number (4654836).
Almost surely, 2131354256 is an apocalyptic number.
131354256 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 131354256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186193440).
131354256 is an abundant number, since it is smaller than the sum of its proper divisors (241032624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131354256 is a wasteful number, since it uses less digits than its factorization.
131354256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1504 (or 1498 counting only the distinct ones).
The product of its digits is 10800, while the sum is 30.
The square root of 131354256 is about 11460.9884390484. The cubic root of 131354256 is about 508.3327020566.
It can be divided in two parts, 13135 and 4256, that added together give a triangular number (17391 = T186).
The spelling of 131354256 in words is "one hundred thirty-one million, three hundred fifty-four thousand, two hundred fifty-six".
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