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1000137 = 3437753
BaseRepresentation
bin11110100001011001001
31212210221010
43310023021
5224001022
633234133
711333565
oct3641311
91783833
101000137
11623466
12402949
132902c8
141c06a5
1514b50c
hexf42c9

1000137 has 8 divisors (see below), whose sum is σ = 1364704. Its totient is φ = 651168.

The previous prime is 1000133. The next prime is 1000151. The reversal of 1000137 is 7310001.

1000137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 1000137 - 22 = 1000133 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3748 + ... + 4005.

It is an arithmetic number, because the mean of its divisors is an integer number (170588).

21000137 is an apocalyptic number.

It is an amenable number.

1000137 is a deficient number, since it is larger than the sum of its proper divisors (364567).

1000137 is an equidigital number, since it uses as much as digits as its factorization.

1000137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7799.

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 1000137 is about 1000.0684976540. The cubic root of 1000137 is about 100.0045664581.

Adding to 1000137 its reverse (7310001), we get a palindrome (8310138).

The spelling of 1000137 in words is "one million, one hundred thirty-seven", and thus it is an aban number.

Divisors: 1 3 43 129 7753 23259 333379 1000137