Search a number
-
+
10003024 = 243761277
BaseRepresentation
bin100110001010…
…001001010000
3200211012120101
4212022021100
510030044044
6554222144
7151011223
oct46121120
920735511
1010003024
115712469
123424954
1320c3065
1414855ba
15d28cd4
hex98a250

10003024 has 40 divisors (see below), whose sum is σ = 20304008. Its totient is φ = 4769280.

The previous prime is 10003003. The next prime is 10003027. The reversal of 10003024 is 42030001.

It can be written as a sum of positive squares in 4 ways, for example, as 193600 + 9809424 = 440^2 + 3132^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10003024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35974 + ... + 36250.

Almost surely, 210003024 is an apocalyptic number.

It is an amenable number.

10003024 is an abundant number, since it is smaller than the sum of its proper divisors (10300984).

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

10003024 is a wasteful number, since it uses less digits than its factorization.

10003024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 10003024 is about 3162.7557604090. The cubic root of 10003024 is about 215.4651835162.

Adding to 10003024 its reverse (42030001), we get a palindrome (52033025).

The spelling of 10003024 in words is "ten million, three thousand, twenty-four".

Divisors: 1 2 4 8 16 37 61 74 122 148 244 277 296 488 554 592 976 1108 2216 2257 4432 4514 9028 10249 16897 18056 20498 33794 36112 40996 67588 81992 135176 163984 270352 625189 1250378 2500756 5001512 10003024