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10082625 = 353723167
BaseRepresentation
bin100110011101…
…100101000001
3200222020202120
4212131211001
510040121000
61000034453
7151462260
oct46354501
920866676
1010082625
115767253
123462a29
132120367
1414a65d7
15d426a0
hex99d941

10082625 has 64 divisors (see below), whose sum is σ = 20127744. Its totient is φ = 4382400.

The previous prime is 10082623. The next prime is 10082627. The reversal of 10082625 is 52628001.

It is an interprime number because it is at equal distance from previous prime (10082623) and next prime (10082627).

It is not a de Polignac number, because 10082625 - 21 = 10082623 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10082595 and 10082604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10082621) 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 63 ways as a sum of consecutive naturals, for example, 60292 + ... + 60458.

It is an arithmetic number, because the mean of its divisors is an integer number (314496).

Almost surely, 210082625 is an apocalyptic number.

10082625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10082625 is a deficient number, since it is larger than the sum of its proper divisors (10045119).

10082625 is a wasteful number, since it uses less digits than its factorization.

10082625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 10082625 is about 3175.3149450094. The cubic root of 10082625 is about 216.0352094524.

The spelling of 10082625 in words is "ten million, eighty-two thousand, six hundred twenty-five".

Divisors: 1 3 5 7 15 21 23 25 35 69 75 105 115 125 161 167 175 345 375 483 501 525 575 805 835 875 1169 1725 2415 2505 2625 2875 3507 3841 4025 4175 5845 8625 11523 12075 12525 17535 19205 20125 20875 26887 29225 57615 60375 62625 80661 87675 96025 134435 146125 288075 403305 438375 480125 672175 1440375 2016525 3360875 10082625