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12420345 = 3572337139
BaseRepresentation
bin101111011000…
…010011111001
3212101000111210
4233120103321
511134422340
61122113333
7210366630
oct57302371
925330453
1012420345
117013653
1241ab849
13275b422
141914517
151155180
hexbd84f9

12420345 has 64 divisors (see below), whose sum is σ = 24514560. Its totient is φ = 5246208.

The previous prime is 12420341. The next prime is 12420347. The reversal of 12420345 is 54302421.

It is not a de Polignac number, because 12420345 - 22 = 12420341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (12420341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89286 + ... + 89424.

It is an arithmetic number, because the mean of its divisors is an integer number (383040).

Almost surely, 212420345 is an apocalyptic number.

12420345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12420345 is a deficient number, since it is larger than the sum of its proper divisors (12094215).

12420345 is a wasteful number, since it uses less digits than its factorization.

12420345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 12420345 is about 3524.2509842518. The cubic root of 12420345 is about 231.5854231506.

Adding to 12420345 its reverse (54302421), we get a palindrome (66722766).

It can be divided in two parts, 12420 and 345, that multiplied together give a square (4284900 = 20702).

The spelling of 12420345 in words is "twelve million, four hundred twenty thousand, three hundred forty-five".

Divisors: 1 3 5 7 15 21 23 35 37 69 105 111 115 139 161 185 259 345 417 483 555 695 777 805 851 973 1295 2085 2415 2553 2919 3197 3885 4255 4865 5143 5957 9591 12765 14595 15429 15985 17871 22379 25715 29785 36001 47955 67137 77145 89355 108003 111895 118289 180005 335685 354867 540015 591445 828023 1774335 2484069 4140115 12420345