Base | Representation |
---|---|
bin | 10010011111110… |
… | …01111010100000 |
3 | 101210222011102200 |
4 | 21033321322200 |
5 | 304210224240 |
6 | 23221413200 |
7 | 3562606053 |
oct | 1117717240 |
9 | 353864380 |
10 | 155164320 |
11 | 7a64a283 |
12 | 43b6a200 |
13 | 261b970c |
14 | 16870a9a |
15 | d94e930 |
hex | 93f9ea0 |
155164320 has 144 divisors (see below), whose sum is σ = 532775880. Its totient is φ = 41121792.
The previous prime is 155164319. The next prime is 155164351. The reversal of 155164320 is 23461551.
155164320 is a `hidden beast` number, since 15 + 5 + 1 + 643 + 2 + 0 = 666.
155164320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 78216336 + 76947984 = 8844^2 + 8772^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 398686 + ... + 399074.
Almost surely, 2155164320 is an apocalyptic number.
155164320 is a gapful number since it is divisible by the number (10) 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 155164320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266387940).
155164320 is an abundant number, since it is smaller than the sum of its proper divisors (377611560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
155164320 is a wasteful number, since it uses less digits than its factorization.
155164320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 687 (or 676 counting only the distinct ones).
The product of its (nonzero) digits is 3600, while the sum is 27.
The square root of 155164320 is about 12456.4970999073. The cubic root of 155164320 is about 537.3582911084.
The spelling of 155164320 in words is "one hundred fifty-five million, one hundred sixty-four thousand, three hundred twenty".
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