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10004520 = 2335263317
BaseRepresentation
bin100110001010…
…100000101000
3200211021121210
4212022200220
510030121040
6554233120
7151015461
oct46124050
920737553
1010004520
1157135a9
1234257a0
1320c3946
141485d68
15d29480
hex98a828

10004520 has 64 divisors (see below), whose sum is σ = 30222720. Its totient is φ = 2649344.

The previous prime is 10004513. The next prime is 10004521. The reversal of 10004520 is 2540001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10004496 and 10004505.

It is not an unprimeable number, because it can be changed into a prime (10004521) 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, 31402 + ... + 31718.

It is an arithmetic number, because the mean of its divisors is an integer number (472230).

Almost surely, 210004520 is an apocalyptic number.

10004520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10004520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15111360).

10004520 is an abundant number, since it is smaller than the sum of its proper divisors (20218200).

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

10004520 is a wasteful number, since it uses less digits than its factorization.

10004520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 10004520 is about 3162.9922541796. The cubic root of 10004520 is about 215.4759242631.

Adding to 10004520 its reverse (2540001), we get a palindrome (12544521).

The spelling of 10004520 in words is "ten million, four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 263 317 526 634 789 951 1052 1268 1315 1578 1585 1902 2104 2536 2630 3156 3170 3804 3945 4755 5260 6312 6340 7608 7890 9510 10520 12680 15780 19020 31560 38040 83371 166742 250113 333484 416855 500226 666968 833710 1000452 1250565 1667420 2000904 2501130 3334840 5002260 10004520