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10002024 = 2332138917
BaseRepresentation
bin100110001001…
…111001101000
3200211011012100
4212021321220
510030031044
6554213400
7151005264
oct46117150
920734170
1010002024
11571173a
123424260
1320c2776
1414850a4
15d28869
hex989e68

10002024 has 24 divisors (see below), whose sum is σ = 27089010. Its totient is φ = 3333984.

The previous prime is 10002019. The next prime is 10002029. The reversal of 10002024 is 42020001.

It is an interprime number because it is at equal distance from previous prime (10002019) and next prime (10002029).

It can be written as a sum of positive squares in only one way, i.e., 9922500 + 79524 = 3150^2 + 282^2 .

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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001997 and 10002015.

It is not an unprimeable number, because it can be changed into a prime (10002029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69387 + ... + 69530.

Almost surely, 210002024 is an apocalyptic number.

It is an amenable number.

10002024 is an abundant number, since it is smaller than the sum of its proper divisors (17086986).

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

10002024 is a wasteful number, since it uses less digits than its factorization.

10002024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138929 (or 138922 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 10002024 is about 3162.5976664761. The cubic root of 10002024 is about 215.4580032754.

Adding to 10002024 its reverse (42020001), we get a palindrome (52022025).

The spelling of 10002024 in words is "ten million, two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 138917 277834 416751 555668 833502 1111336 1250253 1667004 2500506 3334008 5001012 10002024