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12639984 = 243737619
BaseRepresentation
bin110000001101…
…111011110000
3212210011210120
4300031323300
511213434414
61130530240
7212303160
oct60157360
925704716
1012639984
117153675
124296980
1328073a6
1419705a0
15119a2a9
hexc0def0

12639984 has 40 divisors (see below), whose sum is σ = 37319040. Its totient is φ = 3611328.

The previous prime is 12639961. The next prime is 12639989. The reversal of 12639984 is 48993621.

12639984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12639989) 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, 18474 + ... + 19145.

It is an arithmetic number, because the mean of its divisors is an integer number (932976).

Almost surely, 212639984 is an apocalyptic number.

12639984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12639984 is an abundant number, since it is smaller than the sum of its proper divisors (24679056).

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

12639984 is a wasteful number, since it uses less digits than its factorization.

12639984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37637 (or 37631 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 12639984 is about 3555.2755167497. The cubic root of 12639984 is about 232.9425586143.

The spelling of 12639984 in words is "twelve million, six hundred thirty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 37619 75238 112857 150476 225714 263333 300952 451428 526666 601904 789999 902856 1053332 1579998 1805712 2106664 3159996 4213328 6319992 12639984