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10004514 = 2313472729
BaseRepresentation
bin100110001010…
…100000100010
3200211021121120
4212022200202
510030121024
6554233110
7151015452
oct46124042
920737546
1010004514
1157135a3
123425796
1320c3940
141485d62
15d29479
hex98a822

10004514 has 32 divisors (see below), whose sum is σ = 22014720. Its totient is φ = 3011712.

The previous prime is 10004513. The next prime is 10004521. The reversal of 10004514 is 41540001.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10004493 and 10004502.

It is not an unprimeable number, because it can be changed into a prime (10004513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2302 + ... + 5030.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 210004514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10004514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007360).

10004514 is an abundant number, since it is smaller than the sum of its proper divisors (12010206).

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

10004514 is a wasteful number, since it uses less digits than its factorization.

10004514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 10004514 is about 3162.9913057105. The cubic root of 10004514 is about 215.4758811874.

Adding to 10004514 its reverse (41540001), we get a palindrome (51544515).

The spelling of 10004514 in words is "ten million, four thousand, five hundred fourteen".

Divisors: 1 2 3 6 13 26 39 47 78 94 141 282 611 1222 1833 2729 3666 5458 8187 16374 35477 70954 106431 128263 212862 256526 384789 769578 1667419 3334838 5002257 10004514