Base | Representation |
---|---|
bin | 10010000010010… |
… | …00000110010000 |
3 | 101112200100012211 |
4 | 21001020012100 |
5 | 302212242011 |
6 | 23002401504 |
7 | 3514642315 |
oct | 1101100620 |
9 | 345610184 |
10 | 151290256 |
11 | 78443677 |
12 | 42800294 |
13 | 25461280 |
14 | 16142d0c |
15 | d436b21 |
hex | 9048190 |
151290256 has 40 divisors (see below), whose sum is σ = 318616760. Its totient is φ = 69175296.
The previous prime is 151290247. The next prime is 151290283. The reversal of 151290256 is 652092151.
It can be written as a sum of positive squares in 4 ways, for example, as 256 + 151290000 = 16^2 + 12300^2 .
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19336 + ... + 26008.
It is an arithmetic number, because the mean of its divisors is an integer number (7965419).
Almost surely, 2151290256 is an apocalyptic number.
151290256 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 151290256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159308380).
151290256 is an abundant number, since it is smaller than the sum of its proper divisors (167326504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
151290256 is a wasteful number, since it uses less digits than its factorization.
151290256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6803 (or 6797 counting only the distinct ones).
The product of its (nonzero) digits is 5400, while the sum is 31.
The square root of 151290256 is about 12300.0104064997. The cubic root of 151290256 is about 532.8483834835.
The spelling of 151290256 in words is "one hundred fifty-one million, two hundred ninety thousand, two hundred fifty-six".
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