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1000125 = 32537127
BaseRepresentation
bin11110100001010111101
31212210220200
43310022331
5224001000
633234113
711333550
oct3641275
91783820
101000125
11623455
12402939
132902b9
141c0697
1514b500
hexf42bd

1000125 has 48 divisors (see below), whose sum is σ = 2076672. Its totient is φ = 453600.

The previous prime is 1000121. The next prime is 1000133. The reversal of 1000125 is 5210001.

Adding to 1000125 its reverse (5210001), we get a palindrome (6210126).

It can be divided in two parts, 1000 and 125, that multiplied together give a cube (125000 = 503).

It is a happy number.

It is not a de Polignac number, because 1000125 - 22 = 1000121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

1000125 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7812 + ... + 7938.

It is an arithmetic number, because the mean of its divisors is an integer number (43264).

21000125 is an apocalyptic number.

1000125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1000125 is an abundant number, since it is smaller than the sum of its proper divisors (1076547).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000125 is a wasteful number, since it uses less digits than its factorization.

1000125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 1000125 is about 1000.0624980470. The cubic root of 1000125 is about 100.0041664931.

The spelling of 1000125 in words is "one million, one hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 127 175 225 315 375 381 525 635 875 889 1125 1143 1575 1905 2625 2667 3175 4445 5715 7875 8001 9525 13335 15875 22225 28575 40005 47625 66675 111125 142875 200025 333375 1000125