Search a number
-
+
12724416 = 263222091
BaseRepresentation
bin110000100010…
…100011000000
3212221110121200
4300202203000
511224140131
61132421200
7213104265
oct60424300
925843550
1012724416
117201051
124317800
132836953
14199326c
1511b52e6
hexc228c0

12724416 has 42 divisors (see below), whose sum is σ = 36473892. Its totient is φ = 4241280.

The previous prime is 12724351. The next prime is 12724421. The reversal of 12724416 is 61442721.

It is a self number, because there is not a number n which added to its sum of digits gives 12724416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10470 + ... + 11621.

It is an arithmetic number, because the mean of its divisors is an integer number (868426).

Almost surely, 212724416 is an apocalyptic number.

12724416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12724416 is an abundant number, since it is smaller than the sum of its proper divisors (23749476).

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

12724416 is a wasteful number, since it uses less digits than its factorization.

12724416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22109 (or 22096 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 12724416 is about 3567.1299387603. The cubic root of 12724416 is about 233.4600744554.

It can be divided in two parts, 127244 and 16, that added together give a triangular number (127260 = T504).

The spelling of 12724416 in words is "twelve million, seven hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 22091 44182 66273 88364 132546 176728 198819 265092 353456 397638 530184 706912 795276 1060368 1413824 1590552 2120736 3181104 4241472 6362208 12724416