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800137 = 13611009
BaseRepresentation
bin11000011010110001001
31111122120201
43003112021
5201101022
625052201
76541522
oct3032611
91448521
10800137
114a7178
12327061
13220270
1416b849
1510c127
hexc3589

800137 has 8 divisors (see below), whose sum is σ = 876680. Its totient is φ = 725760.

The previous prime is 800131. The next prime is 800143. The reversal of 800137 is 731008.

It is an interprime number because it is at equal distance from previous prime (800131) and next prime (800143).

It can be written as a sum of positive squares in 4 ways, for example, as 32761 + 767376 = 181^2 + 876^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 800137 - 211 = 798089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (800131) 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, 289 + ... + 1297.

It is an arithmetic number, because the mean of its divisors is an integer number (109585).

2800137 is an apocalyptic number.

It is an amenable number.

800137 is a deficient number, since it is larger than the sum of its proper divisors (76543).

800137 is a wasteful number, since it uses less digits than its factorization.

800137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 800137 is about 894.5037730496. The cubic root of 800137 is about 92.8370755170.

The spelling of 800137 in words is "eight hundred thousand, one hundred thirty-seven".

Divisors: 1 13 61 793 1009 13117 61549 800137