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12040320 = 27356271
BaseRepresentation
bin101101111011…
…100010000000
3211122201012210
4231323202000
511040242240
61110022120
7204224655
oct55734200
924581183
1012040320
116884086
124047940
132657466
141855c2c
1510cc780
hexb7b880

12040320 has 64 divisors (see below), whose sum is σ = 38384640. Its totient is φ = 3210240.

The previous prime is 12040309. The next prime is 12040331. The reversal of 12040320 is 2304021.

It is an interprime number because it is at equal distance from previous prime (12040309) and next prime (12040331).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12040296 and 12040305.

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 7 ways as a sum of consecutive naturals, for example, 1216 + ... + 5055.

It is an arithmetic number, because the mean of its divisors is an integer number (599760).

Almost surely, 212040320 is an apocalyptic number.

12040320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12040320 is an abundant number, since it is smaller than the sum of its proper divisors (26344320).

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

12040320 is an equidigital number, since it uses as much as digits as its factorization.

12040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6293 (or 6281 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 12040320 is about 3469.9164255065. The cubic root of 12040320 is about 229.1989778500.

Adding to 12040320 its reverse (2304021), we get a palindrome (14344341).

The spelling of 12040320 in words is "twelve million, forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 6271 12542 18813 25084 31355 37626 50168 62710 75252 94065 100336 125420 150504 188130 200672 250840 301008 376260 401344 501680 602016 752520 802688 1003360 1204032 1505040 2006720 2408064 3010080 4013440 6020160 12040320