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1009424 = 241323211
BaseRepresentation
bin11110110011100010000
31220021200002
43312130100
5224300144
633345132
711402633
oct3663420
91807602
101009424
1162a439
124081a8
132945c0
141c3c1a
1514e14e
hexf6710

1009424 has 40 divisors (see below), whose sum is σ = 2208192. Its totient is φ = 443520.

The previous prime is 1009417. The next prime is 1009433. The reversal of 1009424 is 4249001.

1009424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1009396 and 1009405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4679 + ... + 4889.

21009424 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 1009424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104096).

1009424 is an abundant number, since it is smaller than the sum of its proper divisors (1198768).

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

1009424 is a wasteful number, since it uses less digits than its factorization.

1009424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1009424 is about 1004.7009505320. The cubic root of 1009424 is about 100.3131516700.

The spelling of 1009424 in words is "one million, nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 211 299 368 422 598 844 1196 1688 2392 2743 3376 4784 4853 5486 9706 10972 19412 21944 38824 43888 63089 77648 126178 252356 504712 1009424