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1007004 = 223312707
BaseRepresentation
bin11110101110110011100
31220011100110
43311312130
5224211004
633330020
711362605
oct3656634
91804313
101007004
11628639
12406910
1329347b
141c2dac
1514d589
hexf5d9c

1007004 has 24 divisors (see below), whose sum is σ = 2426368. Its totient is φ = 324720.

The previous prime is 1006991. The next prime is 1007021. The reversal of 1007004 is 4007001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 7 ways as a sum of consecutive naturals, for example, 982 + ... + 1725.

21007004 is an apocalyptic number.

It is an amenable number.

1007004 is an abundant number, since it is smaller than the sum of its proper divisors (1419364).

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

1007004 is a wasteful number, since it uses less digits than its factorization.

1007004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 1007004 is about 1003.4958893787. The cubic root of 1007004 is about 100.2329237109.

The spelling of 1007004 in words is "one million, seven thousand, four".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 2707 5414 8121 10828 16242 32484 83917 167834 251751 335668 503502 1007004