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12048820 = 225789967
BaseRepresentation
bin101101111101…
…100110110100
3211200010212121
4231331212310
511041030240
61110125324
7204261520
oct55754664
924603777
1012048820
11688a503
124050844
13265b2a4
141858d80
1510d004a
hexb7d9b4

12048820 has 48 divisors (see below), whose sum is σ = 29272320. Its totient is φ = 4080384.

The previous prime is 12048809. The next prime is 12048823. The reversal of 12048820 is 2884021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12048823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11977 + ... + 12943.

It is an arithmetic number, because the mean of its divisors is an integer number (609840).

Almost surely, 212048820 is an apocalyptic number.

12048820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12048820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14636160).

12048820 is an abundant number, since it is smaller than the sum of its proper divisors (17223500).

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

12048820 is a wasteful number, since it uses less digits than its factorization.

12048820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 12048820 is about 3471.1410227762. The cubic root of 12048820 is about 229.2529003659.

The spelling of 12048820 in words is "twelve million, forty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 140 178 356 445 623 890 967 1246 1780 1934 2492 3115 3868 4835 6230 6769 9670 12460 13538 19340 27076 33845 67690 86063 135380 172126 344252 430315 602441 860630 1204882 1721260 2409764 3012205 6024410 12048820