Search a number
-
+
12674016 = 253314669
BaseRepresentation
bin110000010110…
…001111100000
3212211220111000
4300112033200
511221032031
61131352000
7212504325
oct60261740
925756430
1012674016
1171771a3
1242b2600
132819a24
14197cb4c
1511a53e6
hexc163e0

12674016 has 48 divisors (see below), whose sum is σ = 36968400. Its totient is φ = 4224384.

The previous prime is 12674003. The next prime is 12674021. The reversal of 12674016 is 61047621.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 6471 + ... + 8198.

It is an arithmetic number, because the mean of its divisors is an integer number (770175).

Almost surely, 212674016 is an apocalyptic number.

12674016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12674016 is an abundant number, since it is smaller than the sum of its proper divisors (24294384).

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

12674016 is a wasteful number, since it uses less digits than its factorization.

12674016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14688 (or 14674 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12674016 is about 3560.0584264868. The cubic root of 12674016 is about 233.1514301099.

It can be divided in two parts, 126740 and 16, that added together give a triangular number (126756 = T503).

The spelling of 12674016 in words is "twelve million, six hundred seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 14669 29338 44007 58676 88014 117352 132021 176028 234704 264042 352056 396063 469408 528084 704112 792126 1056168 1408224 1584252 2112336 3168504 4224672 6337008 12674016