Base | Representation |
---|---|
bin | 101111110010… |
… | …000110100000 |
3 | 212120101102100 |
4 | 233302012200 |
5 | 11201312414 |
6 | 1124250400 |
7 | 211316622 |
oct | 57620640 |
9 | 25511370 |
10 | 12525984 |
11 | 7085a59 |
12 | 4240a00 |
13 | 2797533 |
14 | 1940c12 |
15 | 1176609 |
hex | bf21a0 |
12525984 has 144 divisors (see below), whose sum is σ = 38997504. Its totient is φ = 3801600.
The previous prime is 12525979. The next prime is 12526001. The reversal of 12525984 is 48952521.
12525984 is a `hidden beast` number, since 12 + 52 + 598 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (28800) is a multiple of the sum of its prime divisors (120).
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 205314 + ... + 205374.
It is an arithmetic number, because the mean of its divisors is an integer number (270816).
Almost surely, 212525984 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 12525984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19498752).
12525984 is an abundant number, since it is smaller than the sum of its proper divisors (26471520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12525984 is a wasteful number, since it uses less digits than its factorization.
12525984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 131 (or 120 counting only the distinct ones).
The product of its digits is 28800, while the sum is 36.
The square root of 12525984 is about 3539.2066907713. The cubic root of 12525984 is about 232.2401397756.
The spelling of 12525984 in words is "twelve million, five hundred twenty-five thousand, nine hundred eighty-four".
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