Search a number
-
+
9001820 = 2251923689
BaseRepresentation
bin100010010101…
…101101011100
3121221100011202
4202111231130
54301024240
6520535032
7136341242
oct42255534
917840152
109001820
115099223
123021478
131b32429
1412a4792
15bcc315
hex895b5c

9001820 has 24 divisors (see below), whose sum is σ = 19899600. Its totient is φ = 3411072.

The previous prime is 9001799. The next prime is 9001829. The reversal of 9001820 is 281009.

9001820 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 9001792 and 9001801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9001829) 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, 11465 + ... + 12224.

It is an arithmetic number, because the mean of its divisors is an integer number (829150).

Almost surely, 29001820 is an apocalyptic number.

It is an amenable number.

9001820 is an abundant number, since it is smaller than the sum of its proper divisors (10897780).

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

9001820 is a wasteful number, since it uses less digits than its factorization.

9001820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23717 (or 23715 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 9001820 is about 3000.3033179997. The cubic root of 9001820 is about 208.0224026659.

Adding to 9001820 its reverse (281009), we get a palindrome (9282829).

The spelling of 9001820 in words is "nine million, one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 23689 47378 94756 118445 236890 450091 473780 900182 1800364 2250455 4500910 9001820