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190125 = 3253132
BaseRepresentation
bin101110011010101101
3100122210200
4232122231
522041000
64024113
71421205
oct563255
9318720
10190125
1111a931
1292039
1368700
144d405
153b500
hex2e6ad

190125 has 36 divisors (see below), whose sum is σ = 371124. Its totient is φ = 93600.

The previous prime is 190121. The next prime is 190129. The reversal of 190125 is 521091.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (190121) and next prime (190129).

It can be written as a sum of positive squares in 6 ways, for example, as 133956 + 56169 = 366^2 + 237^2 .

It is not a de Polignac number, because 190125 - 22 = 190121 is a prime.

It is a super-2 number, since 2×1901252 = 72295031250, which contains 22 as substring.

It is a Curzon number.

190125 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 190098 and 190107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14619 + ... + 14631.

It is an arithmetic number, because the mean of its divisors is an integer number (10309).

2190125 is an apocalyptic number.

190125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

190125 is a deficient number, since it is larger than the sum of its proper divisors (180999).

190125 is a wasteful number, since it uses less digits than its factorization.

190125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 190125 is about 436.0332556125. The cubic root of 190125 is about 57.5015752562.

The spelling of 190125 in words is "one hundred ninety thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 125 169 195 225 325 375 507 585 845 975 1125 1521 1625 2535 2925 4225 4875 7605 12675 14625 21125 38025 63375 190125