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1207125 = 32532937
BaseRepresentation
bin100100110101101010101
32021022212100
410212231111
5302112000
641512313
713155213
oct4465525
92238770
101207125
11754a27
124a2699
1333359a
14235cb3
1518ca00
hex126b55

1207125 has 48 divisors (see below), whose sum is σ = 2311920. Its totient is φ = 604800.

The previous prime is 1207123. The next prime is 1207133. The reversal of 1207125 is 5217021.

It can be written as a sum of positive squares in 8 ways, for example, as 154449 + 1052676 = 393^2 + 1026^2 .

It is not a de Polignac number, because 1207125 - 21 = 1207123 is a prime.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 1207098 and 1207107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1207121) 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 47 ways as a sum of consecutive naturals, for example, 32607 + ... + 32643.

It is an arithmetic number, because the mean of its divisors is an integer number (48165).

21207125 is an apocalyptic number.

1207125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1207125 is a deficient number, since it is larger than the sum of its proper divisors (1104795).

1207125 is a wasteful number, since it uses less digits than its factorization.

1207125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 1207125 is about 1098.6924046338. The cubic root of 1207125 is about 106.4757598737.

The spelling of 1207125 in words is "one million, two hundred seven thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 37 45 75 87 111 125 145 185 225 261 333 375 435 555 725 925 1073 1125 1305 1665 2175 2775 3219 3625 4625 5365 6525 8325 9657 10875 13875 16095 26825 32625 41625 48285 80475 134125 241425 402375 1207125