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10004660 = 225500233
BaseRepresentation
bin100110001010…
…100010110100
3200211021210222
4212022202310
510030122120
6554233512
7151016051
oct46124264
920737728
1010004660
115713716
123425898
1320c3a23
141486028
15d29525
hex98a8b4

10004660 has 12 divisors (see below), whose sum is σ = 21009828. Its totient is φ = 4001856.

The previous prime is 10004647. The next prime is 10004663. The reversal of 10004660 is 6640001.

It can be written as a sum of positive squares in 2 ways, for example, as 2540836 + 7463824 = 1594^2 + 2732^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004663) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250097 + ... + 250136.

It is an arithmetic number, because the mean of its divisors is an integer number (1750819).

Almost surely, 210004660 is an apocalyptic number.

10004660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004660 is an abundant number, since it is smaller than the sum of its proper divisors (11005168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10004660 is a wasteful number, since it uses less digits than its factorization.

10004660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500242 (or 500240 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 10004660 is about 3163.0143850447. The cubic root of 10004660 is about 215.4769293584.

Adding to 10004660 its reverse (6640001), we get a palindrome (16644661).

The spelling of 10004660 in words is "ten million, four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 500233 1000466 2000932 2501165 5002330 10004660