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12042320 = 2451091381
BaseRepresentation
bin101101111100…
…000001010000
3211122210221212
4231330001100
511040323240
61110035252
7204233543
oct55740120
924583855
1012042320
116885634
124048b28
132658344
14185685a
1510cd165
hexb7c050

12042320 has 40 divisors (see below), whose sum is σ = 28275720. Its totient is φ = 4769280.

The previous prime is 12042319. The next prime is 12042343. The reversal of 12042320 is 2324021.

It can be written as a sum of positive squares in 4 ways, for example, as 1827904 + 10214416 = 1352^2 + 3196^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 12042295 and 12042304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8030 + ... + 9410.

It is an arithmetic number, because the mean of its divisors is an integer number (706893).

Almost surely, 212042320 is an apocalyptic number.

12042320 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 12042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14137860).

12042320 is an abundant number, since it is smaller than the sum of its proper divisors (16233400).

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

12042320 is a wasteful number, since it uses less digits than its factorization.

12042320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 12042320 is about 3470.2046049189. The cubic root of 12042320 is about 229.2116677834.

Adding to 12042320 its reverse (2324021), we get a palindrome (14366341).

The spelling of 12042320 in words is "twelve million, forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1381 1744 2180 2762 4360 5524 6905 8720 11048 13810 22096 27620 55240 110480 150529 301058 602116 752645 1204232 1505290 2408464 3010580 6021160 12042320