Search a number
-
+
12693984 = 253132229
BaseRepresentation
bin110000011011…
…000111100000
3212212220212120
4300123013200
511222201414
61132024240
7212616462
oct60330740
925786776
1012693984
1171901a6
124302080
132825b44
141986132
1511ab2a9
hexc1b1e0

12693984 has 24 divisors (see below), whose sum is σ = 33321960. Its totient is φ = 4231296.

The previous prime is 12693959. The next prime is 12693991. The reversal of 12693984 is 48939621.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×126939842 = 322274459584512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66019 + ... + 66210.

It is an arithmetic number, because the mean of its divisors is an integer number (1388415).

Almost surely, 212693984 is an apocalyptic number.

It is an amenable number.

12693984 is an abundant number, since it is smaller than the sum of its proper divisors (20627976).

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

12693984 is a wasteful number, since it uses less digits than its factorization.

12693984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132242 (or 132234 counting only the distinct ones).

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

The square root of 12693984 is about 3562.8617711048. The cubic root of 12693984 is about 233.2738097601.

It can be divided in two parts, 1269 and 3984, that added together give a triangular number (5253 = T102).

The spelling of 12693984 in words is "twelve million, six hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 132229 264458 396687 528916 793374 1057832 1586748 2115664 3173496 4231328 6346992 12693984