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12940496 = 24291672
BaseRepresentation
bin110001010111…
…010011010000
3220100110000122
4301113103100
511303043441
61141205412
7214664252
oct61272320
926313018
1012940496
117339428
124400868
1328b10ca
141a0bcd2
15120934b
hexc574d0

12940496 has 30 divisors (see below), whose sum is σ = 26093010. Its totient is φ = 6209728.

The previous prime is 12940493. The next prime is 12940507. The reversal of 12940496 is 69404921.

It can be written as a sum of positive squares in only one way, i.e., 11155600 + 1784896 = 3340^2 + 1336^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12940493) 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 5 ways as a sum of consecutive naturals, for example, 77405 + ... + 77571.

It is an arithmetic number, because the mean of its divisors is an integer number (869767).

Almost surely, 212940496 is an apocalyptic number.

12940496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12940496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13046505).

12940496 is an abundant number, since it is smaller than the sum of its proper divisors (13152514).

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

12940496 is an equidigital number, since it uses as much as digits as its factorization.

12940496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 12940496 is about 3597.2900911658. The cubic root of 12940496 is about 234.7741666275.

The spelling of 12940496 in words is "twelve million, nine hundred forty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 29 58 116 167 232 334 464 668 1336 2672 4843 9686 19372 27889 38744 55778 77488 111556 223112 446224 808781 1617562 3235124 6470248 12940496