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10080625 = 541272
BaseRepresentation
bin100110011101…
…000101110001
3200222011000111
4212131011301
510040040000
61000021321
7151453402
oct46350561
920864014
1010080625
1157657a5
123461841
13211c489
1414a59a9
15d41cba
hex99d171

10080625 has 15 divisors (see below), whose sum is σ = 12696717. Its totient is φ = 8001000.

The previous prime is 10080593. The next prime is 10080641. The reversal of 10080625 is 52608001.

It is a happy number.

The square root of 10080625 is 3175.

It is a perfect power (a square), and thus also a powerful number.

10080625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 790321 + 9290304 = 889^2 + 3048^2 .

It is not a de Polignac number, because 10080625 - 25 = 10080593 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10080596 and 10080605.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 79312 + ... + 79438.

Almost surely, 210080625 is an apocalyptic number.

10080625 is the 3175-th square number.

10080625 is the 1588-th centered octagonal number.

It is an amenable number.

10080625 is a deficient number, since it is larger than the sum of its proper divisors (2616092).

10080625 is an frugal number, since it uses more digits than its factorization.

10080625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The cubic root of 10080625 is about 216.0209241847.

Adding to 10080625 its reverse (52608001), we get a palindrome (62688626).

The spelling of 10080625 in words is "ten million, eighty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 127 625 635 3175 15875 16129 79375 80645 403225 2016125 10080625