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1028137 = 11229293
BaseRepresentation
bin11111011000000101001
31221020100011
43323000221
5230400022
634011521
711511325
oct3730051
91836304
101028137
11642500
12416ba1
1329cc86
141ca985
15154977
hexfb029

1028137 has 12 divisors (see below), whose sum is σ = 1173060. Its totient is φ = 899360.

The previous prime is 1028129. The next prime is 1028141. The reversal of 1028137 is 7318201.

1028137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 793881 + 234256 = 891^2 + 484^2 .

It is not a de Polignac number, because 1028137 - 23 = 1028129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1028107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3363 + ... + 3655.

It is an arithmetic number, because the mean of its divisors is an integer number (97755).

21028137 is an apocalyptic number.

It is an amenable number.

1028137 is a deficient number, since it is larger than the sum of its proper divisors (144923).

1028137 is a wasteful number, since it uses less digits than its factorization.

1028137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 1028137 is about 1013.9709068805. The cubic root of 1028137 is about 100.9292384136.

Subtracting 1028137 from its reverse (7318201), we obtain a square (6290064 = 25082).

The spelling of 1028137 in words is "one million, twenty-eight thousand, one hundred thirty-seven".

Divisors: 1 11 29 121 293 319 3223 3509 8497 35453 93467 1028137