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12681440 = 25579259
BaseRepresentation
bin110000011000…
…000011100000
3212212021122222
4300120003200
511221301230
61131450212
7212535062
oct60300340
925767588
1012681440
117181832
1242b6968
132820215
141981732
1511a76e5
hexc180e0

12681440 has 24 divisors (see below), whose sum is σ = 29960280. Its totient is φ = 5072512.

The previous prime is 12681437. The next prime is 12681443. The reversal of 12681440 is 4418621.

It is an interprime number because it is at equal distance from previous prime (12681437) and next prime (12681443).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12681443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39470 + ... + 39789.

It is an arithmetic number, because the mean of its divisors is an integer number (1248345).

Almost surely, 212681440 is an apocalyptic number.

12681440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12681440 is an abundant number, since it is smaller than the sum of its proper divisors (17278840).

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

12681440 is an equidigital number, since it uses as much as digits as its factorization.

12681440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79274 (or 79266 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 12681440 is about 3561.1009533570. The cubic root of 12681440 is about 233.1969452372.

The spelling of 12681440 in words is "twelve million, six hundred eighty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 79259 158518 317036 396295 634072 792590 1268144 1585180 2536288 3170360 6340720 12681440