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10012824 = 2332139067
BaseRepresentation
bin100110001100…
…100010011000
3200211201000100
4212030202120
510030402244
6554335400
7151051623
oct46144230
920751010
1010012824
115719868
12342a560
1320c7663
141488dba
15d2bb69
hex98c898

10012824 has 24 divisors (see below), whose sum is σ = 27118260. Its totient is φ = 3337584.

The previous prime is 10012811. The next prime is 10012841. The reversal of 10012824 is 42821001.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10012797 and 10012806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69462 + ... + 69605.

Almost surely, 210012824 is an apocalyptic number.

It is an amenable number.

10012824 is an abundant number, since it is smaller than the sum of its proper divisors (17105436).

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

10012824 is a wasteful number, since it uses less digits than its factorization.

10012824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139079 (or 139072 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10012824 is about 3164.3046629552. The cubic root of 10012824 is about 215.5355245653.

Adding to 10012824 its reverse (42821001), we get a palindrome (52833825).

The spelling of 10012824 in words is "ten million, twelve thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139067 278134 417201 556268 834402 1112536 1251603 1668804 2503206 3337608 5006412 10012824