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1022125 = 53131737
BaseRepresentation
bin11111001100010101101
31220221002111
43321202231
5230202000
633524021
711454646
oct3714255
91827074
101022125
11638a35
12413611
1329a310
141c86cd
15152cba
hexf98ad

1022125 has 32 divisors (see below), whose sum is σ = 1493856. Its totient is φ = 691200.

The previous prime is 1022123. The next prime is 1022129. The reversal of 1022125 is 5212201.

It can be written as a sum of positive squares in 16 ways, for example, as 544644 + 477481 = 738^2 + 691^2 .

It is not a de Polignac number, because 1022125 - 21 = 1022123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

1022125 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27607 + ... + 27643.

It is an arithmetic number, because the mean of its divisors is an integer number (46683).

21022125 is an apocalyptic number.

It is an amenable number.

1022125 is a deficient number, since it is larger than the sum of its proper divisors (471731).

1022125 is a wasteful number, since it uses less digits than its factorization.

1022125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 1022125 is about 1011.0019782374. The cubic root of 1022125 is about 100.7321268223.

Adding to 1022125 its reverse (5212201), we get a palindrome (6234326).

The spelling of 1022125 in words is "one million, twenty-two thousand, one hundred twenty-five".

Divisors: 1 5 13 17 25 37 65 85 125 185 221 325 425 481 629 925 1105 1625 2125 2405 3145 4625 5525 8177 12025 15725 27625 40885 60125 78625 204425 1022125