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12315456 = 26337127
BaseRepresentation
bin101110111110…
…101101000000
3212011200122000
4232332231000
511123043311
61115544000
7206452056
oct56765500
925150560
1012315456
116a5186a
12415b000
13272276a
1418c81d6
151134056
hexbbeb40

12315456 has 56 divisors (see below), whose sum is σ = 36210240. Its totient is φ = 4104576.

The previous prime is 12315449. The next prime is 12315461. The reversal of 12315456 is 65451321.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1836 + ... + 5291.

Almost surely, 212315456 is an apocalyptic number.

12315456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12315456 is an abundant number, since it is smaller than the sum of its proper divisors (23894784).

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

12315456 is an equidigital number, since it uses as much as digits as its factorization.

12315456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7148 (or 7132 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 12315456 is about 3509.3383991858. The cubic root of 12315456 is about 230.9316714757.

Adding to 12315456 its reverse (65451321), we get a palindrome (77766777).

The spelling of 12315456 in words is "twelve million, three hundred fifteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 7127 14254 21381 28508 42762 57016 64143 85524 114032 128286 171048 192429 228064 256572 342096 384858 456128 513144 684192 769716 1026288 1368384 1539432 2052576 3078864 4105152 6157728 12315456