Search a number
-
+
12007820 = 2251154581
BaseRepresentation
bin101101110011…
…100110001100
3211121001122002
4231303212030
511033222240
61105211432
7204031136
oct55634614
924531562
1012007820
116861720
124030b78
132645726
141848056
1510c2d15
hexb7398c

12007820 has 24 divisors (see below), whose sum is σ = 27509328. Its totient is φ = 4366400.

The previous prime is 12007813. The next prime is 12007837. The reversal of 12007820 is 2870021.

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 = 12007792 and 12007801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27071 + ... + 27510.

It is an arithmetic number, because the mean of its divisors is an integer number (1146222).

Almost surely, 212007820 is an apocalyptic number.

12007820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12007820 is an abundant number, since it is smaller than the sum of its proper divisors (15501508).

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

12007820 is a wasteful number, since it uses less digits than its factorization.

12007820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54601 (or 54599 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 12007820 is about 3465.2301510866. The cubic root of 12007820 is about 228.9925691861.

Adding to 12007820 its reverse (2870021), we get a palindrome (14877841).

The spelling of 12007820 in words is "twelve million, seven thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 54581 109162 218324 272905 545810 600391 1091620 1200782 2401564 3001955 6003910 12007820