Base | Representation |
---|---|
bin | 1100111010010… |
… | …0101111100000 |
3 | 10202220012210120 |
4 | 3032210233200 |
5 | 102330332120 |
6 | 5212400240 |
7 | 1225200006 |
oct | 316445740 |
9 | 122805716 |
10 | 54152160 |
11 | 28627357 |
12 | 16176080 |
13 | b2b02ca |
14 | 7298a76 |
15 | 4b4a140 |
hex | 33a4be0 |
54152160 has 96 divisors (see below), whose sum is σ = 172422432. Its totient is φ = 14284800.
The previous prime is 54152141. The next prime is 54152171. The reversal of 54152160 is 6125145.
54152160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 54152160.
It is a congruent number.
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, 47922 + ... + 49038.
It is an arithmetic number, because the mean of its divisors is an integer number (1796067).
Almost surely, 254152160 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 54152160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86211216).
54152160 is an abundant number, since it is smaller than the sum of its proper divisors (118270272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54152160 is a wasteful number, since it uses less digits than its factorization.
54152160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1236 (or 1228 counting only the distinct ones).
The product of its (nonzero) digits is 1200, while the sum is 24.
The square root of 54152160 is about 7358.8151220152. The cubic root of 54152160 is about 378.3309997894.
It can be divided in two parts, 5415 and 2160, that multiplied together give a square (11696400 = 34202).
The spelling of 54152160 in words is "fifty-four million, one hundred fifty-two thousand, one hundred sixty".
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