Search a number
-
+
12009840 = 2435163307
BaseRepresentation
bin101101110100…
…000101110000
3211121011101220
4231310011300
511033303330
61105225040
7204040053
oct55640560
924534356
1012009840
116863197
124032180
13264661b
141848a9a
1510c3710
hexb74170

12009840 has 80 divisors (see below), whose sum is σ = 37580928. Its totient is φ = 3172608.

The previous prime is 12009827. The next prime is 12009859. The reversal of 12009840 is 4890021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12009840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38967 + ... + 39273.

Almost surely, 212009840 is an apocalyptic number.

12009840 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 12009840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18790464).

12009840 is an abundant number, since it is smaller than the sum of its proper divisors (25571088).

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

12009840 is a wasteful number, since it uses less digits than its factorization.

12009840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 12009840 is about 3465.5216057615. The cubic root of 12009840 is about 229.0054091258.

Adding to 12009840 its reverse (4890021), we get a palindrome (16899861).

The spelling of 12009840 in words is "twelve million, nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 163 240 307 326 489 614 652 815 921 978 1228 1304 1535 1630 1842 1956 2445 2456 2608 3070 3260 3684 3912 4605 4890 4912 6140 6520 7368 7824 9210 9780 12280 13040 14736 18420 19560 24560 36840 39120 50041 73680 100082 150123 200164 250205 300246 400328 500410 600492 750615 800656 1000820 1200984 1501230 2001640 2401968 3002460 4003280 6004920 12009840