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9000124 = 227247977
BaseRepresentation
bin100010010101…
…010010111100
3121221020211221
4202111102330
54301000444
6520523124
7136333300
oct42252274
917836757
109000124
115097a21
1230204a4
131b31723
1412a3d00
15bcba84
hex8954bc

9000124 has 36 divisors (see below), whose sum is σ = 18730656. Its totient is φ = 3771264.

The previous prime is 9000119. The next prime is 9000127. The reversal of 9000124 is 4210009.

It is a junction number, because it is equal to n+sod(n) for n = 9000098 and 9000107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000127) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8724 + ... + 9700.

It is an arithmetic number, because the mean of its divisors is an integer number (520296).

Almost surely, 29000124 is an apocalyptic number.

9000124 is a gapful number since it is divisible by the number (94) 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 9000124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9365328).

9000124 is an abundant number, since it is smaller than the sum of its proper divisors (9730532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9000124 is a wasteful number, since it uses less digits than its factorization.

9000124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 9000124 is about 3000.0206665955. The cubic root of 9000124 is about 208.0093375986.

The spelling of 9000124 in words is "nine million, one hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 47 49 94 98 188 196 329 658 977 1316 1954 2303 3908 4606 6839 9212 13678 27356 45919 47873 91838 95746 183676 191492 321433 642866 1285732 2250031 4500062 9000124