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12940648 = 237673449
BaseRepresentation
bin110001010111…
…010101101000
3220100110020021
4301113111220
511303100043
61141210224
7214664560
oct61272550
926313207
1012940648
117339556
124400974
1328b11b6
141a0bda0
1512093ed
hexc57568

12940648 has 32 divisors (see below), whose sum is σ = 28152000. Its totient is φ = 5461632.

The previous prime is 12940643. The next prime is 12940649. The reversal of 12940648 is 84604921.

12940648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×129406483 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12940643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2028 + ... + 5476.

It is an arithmetic number, because the mean of its divisors is an integer number (879750).

Almost surely, 212940648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12940648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14076000).

12940648 is an abundant number, since it is smaller than the sum of its proper divisors (15211352).

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

12940648 is a wasteful number, since it uses less digits than its factorization.

12940648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3529 (or 3525 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 12940648 is about 3597.3112181183. The cubic root of 12940648 is about 234.7750858487.

The spelling of 12940648 in words is "twelve million, nine hundred forty thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 56 67 134 268 469 536 938 1876 3449 3752 6898 13796 24143 27592 48286 96572 193144 231083 462166 924332 1617581 1848664 3235162 6470324 12940648