Base | Representation |
---|---|
bin | 1110110101000… |
… | …01001010100000 |
3 | 22200001202212200 |
4 | 13122201022200 |
5 | 223321021341 |
6 | 20202053200 |
7 | 3040213113 |
oct | 732411240 |
9 | 280052780 |
10 | 124392096 |
11 | 64241694 |
12 | 357aa200 |
13 | 1ca040ba |
14 | 1274057a |
15 | adc1db6 |
hex | 76a12a0 |
124392096 has 144 divisors (see below), whose sum is σ = 375036480. Its totient is φ = 39029760.
The previous prime is 124392089. The next prime is 124392109. The reversal of 124392096 is 690293421.
124392096 is a `hidden beast` number, since 12 + 439 + 209 + 6 = 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).
It is a self number, because there is not a number n which added to its sum of digits gives 124392096.
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, 589431 + ... + 589641.
It is an arithmetic number, because the mean of its divisors is an integer number (2604420).
Almost surely, 2124392096 is an apocalyptic number.
124392096 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 124392096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187518240).
124392096 is an abundant number, since it is smaller than the sum of its proper divisors (250644384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
124392096 is a wasteful number, since it uses less digits than its factorization.
124392096 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 339 (or 328 counting only the distinct ones).
The product of its (nonzero) digits is 23328, while the sum is 36.
The square root of 124392096 is about 11153.1204602120. The cubic root of 124392096 is about 499.1881438259.
It can be divided in two parts, 12439 and 2096, that added together give a triangular number (14535 = T170).
The spelling of 124392096 in words is "one hundred twenty-four million, three hundred ninety-two thousand, ninety-six".
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