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12420320 = 255117057
BaseRepresentation
bin101111011000…
…010011100000
3212101000110212
4233120103200
511134422240
61122113252
7210366563
oct57302340
925330425
1012420320
117013630
1241ab828
13275b403
1419144da
151155165
hexbd84e0

12420320 has 48 divisors (see below), whose sum is σ = 32015088. Its totient is φ = 4515840.

The previous prime is 12420313. The next prime is 12420329. The reversal of 12420320 is 2302421.

It is a junction number, because it is equal to n+sod(n) for n = 12420295 and 12420304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12420329) by changing a digit.

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, 1769 + ... + 5288.

It is an arithmetic number, because the mean of its divisors is an integer number (666981).

Almost surely, 212420320 is an apocalyptic number.

12420320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12420320 is an abundant number, since it is smaller than the sum of its proper divisors (19594768).

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

12420320 is a wasteful number, since it uses less digits than its factorization.

12420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7083 (or 7075 counting only the distinct ones).

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

The square root of 12420320 is about 3524.2474373971. The cubic root of 12420320 is about 231.5852677701.

Adding to 12420320 its reverse (2302421), we get a palindrome (14722741).

The spelling of 12420320 in words is "twelve million, four hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 7057 14114 28228 35285 56456 70570 77627 112912 141140 155254 225824 282280 310508 388135 564560 621016 776270 1129120 1242032 1552540 2484064 3105080 6210160 12420320