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10010625 = 35419281
BaseRepresentation
bin100110001100…
…000000000001
3200211120222220
4212030000001
510030320000
6554321253
7151042332
oct46140001
920746886
1010010625
115718149
123429229
1320c6661
141488289
15d2b1a0
hex98c001

10010625 has 40 divisors (see below), whose sum is σ = 17619360. Its totient is φ = 5040000.

The previous prime is 10010593. The next prime is 10010629. The reversal of 10010625 is 52601001.

It is not a de Polignac number, because 10010625 - 25 = 10010593 is a prime.

It is a super-2 number, since 2×100106252 = 200425225781250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10010629) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35485 + ... + 35765.

It is an arithmetic number, because the mean of its divisors is an integer number (440484).

It is a Proth number, since it is equal to 611 ⋅ 214 + 1 and 611 < 214.

Almost surely, 210010625 is an apocalyptic number.

10010625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10010625 is a deficient number, since it is larger than the sum of its proper divisors (7608735).

10010625 is an equidigital number, since it uses as much as digits as its factorization.

10010625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 10010625 is about 3163.9571741729. The cubic root of 10010625 is about 215.5197448905.

Adding to 10010625 its reverse (52601001), we get a palindrome (62611626).

The spelling of 10010625 in words is "ten million, ten thousand, six hundred twenty-five".

Divisors: 1 3 5 15 19 25 57 75 95 125 281 285 375 475 625 843 1405 1425 1875 2375 4215 5339 7025 7125 11875 16017 21075 26695 35125 35625 80085 105375 133475 175625 400425 526875 667375 2002125 3336875 10010625