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12921984 = 27333739
BaseRepresentation
bin110001010010…
…110010000000
3220022111122000
4301102302000
511302000414
61140544000
7214556265
oct61226200
926274560
1012921984
117326529
1243b2000
1328a585a
141a0526c
151203b09
hexc52c80

12921984 has 64 divisors (see below), whose sum is σ = 38148000. Its totient is φ = 4306176.

The previous prime is 12921967. The next prime is 12922001. The reversal of 12921984 is 48912921.

It is an interprime number because it is at equal distance from previous prime (12921967) and next prime (12922001).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1587 + ... + 5325.

Almost surely, 212921984 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 12921984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19074000).

12921984 is an abundant number, since it is smaller than the sum of its proper divisors (25226016).

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

12921984 is an equidigital number, since it uses as much as digits as its factorization.

12921984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3762 (or 3744 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 12921984 is about 3594.7161223106. The cubic root of 12921984 is about 234.6621613001.

The spelling of 12921984 in words is "twelve million, nine hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 3739 7478 11217 14956 22434 29912 33651 44868 59824 67302 89736 100953 119648 134604 179472 201906 239296 269208 358944 403812 478592 538416 717888 807624 1076832 1435776 1615248 2153664 3230496 4307328 6460992 12921984