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1000407 = 31917551
BaseRepresentation
bin11110100001111010111
31212211022010
43310033113
5224003112
633235303
711334432
oct3641727
91784263
101000407
11623691
12402b33
13290475
141c0819
1514b63c
hexf43d7

1000407 has 8 divisors (see below), whose sum is σ = 1404160. Its totient is φ = 631800.

The previous prime is 1000403. The next prime is 1000409. The reversal of 1000407 is 7040001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1000407 - 22 = 1000403 is a prime.

It is a Duffinian number.

1000407 is a modest number, since divided by 407 gives 1 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1000392 and 1000401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000403) by changing a digit.

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, 8719 + ... + 8832.

It is an arithmetic number, because the mean of its divisors is an integer number (175520).

21000407 is an apocalyptic number.

1000407 is a deficient number, since it is larger than the sum of its proper divisors (403753).

1000407 is a wasteful number, since it uses less digits than its factorization.

1000407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17573.

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

The square root of 1000407 is about 1000.2034792981. The cubic root of 1000407 is about 100.0135648265.

Adding to 1000407 its reverse (7040001), we get a palindrome (8040408).

The spelling of 1000407 in words is "one million, four hundred seven", and thus it is an aban number.

Divisors: 1 3 19 57 17551 52653 333469 1000407