Search a number
-
+
10007020 = 2253713523
BaseRepresentation
bin100110001011…
…000111101100
3200211102001101
4212023013230
510030211040
6554252444
7151025662
oct46130754
920742041
1010007020
115715471
123427124
1320c4b1a
141486c32
15d2a09a
hex98b1ec

10007020 has 24 divisors (see below), whose sum is σ = 21584304. Its totient is φ = 3894336.

The previous prime is 10006987. The next prime is 10007021. The reversal of 10007020 is 2070001.

10007020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10006988 and 10007006.

It is not an unprimeable number, because it can be changed into a prime (10007021) 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, 6022 + ... + 7501.

It is an arithmetic number, because the mean of its divisors is an integer number (899346).

Almost surely, 210007020 is an apocalyptic number.

10007020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10007020 is an abundant number, since it is smaller than the sum of its proper divisors (11577284).

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

10007020 is a wasteful number, since it uses less digits than its factorization.

10007020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13569 (or 13567 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 10007020 is about 3163.3874248976. The cubic root of 10007020 is about 215.4938709827.

Adding to 10007020 its reverse (2070001), we get a palindrome (12077021).

The spelling of 10007020 in words is "ten million, seven thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 13523 27046 54092 67615 135230 270460 500351 1000702 2001404 2501755 5003510 10007020