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6741216 = 253289263
BaseRepresentation
bin11001101101110011100000
3110200111012200
4121231303200
53211204331
6400253200
7111204456
oct31556340
913614180
106741216
113894859
122311200
1315204b1
14c769d6
158d25e6
hex66dce0

6741216 has 72 divisors (see below), whose sum is σ = 19459440. Its totient is φ = 2213376.

The previous prime is 6741173. The next prime is 6741221. The reversal of 6741216 is 6121476.

6741216 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 6741216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25501 + ... + 25763.

It is an arithmetic number, because the mean of its divisors is an integer number (270270).

Almost surely, 26741216 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 6741216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9729720).

6741216 is an abundant number, since it is smaller than the sum of its proper divisors (12718224).

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

6741216 is a wasteful number, since it uses less digits than its factorization.

6741216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 357 counting only the distinct ones).

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

The square root of 6741216 is about 2596.3851794370. The cubic root of 6741216 is about 188.9061430349.

The spelling of 6741216 in words is "six million, seven hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 263 267 288 356 526 534 712 789 801 1052 1068 1424 1578 1602 2104 2136 2367 2848 3156 3204 4208 4272 4734 6312 6408 8416 8544 9468 12624 12816 18936 23407 25248 25632 37872 46814 70221 75744 93628 140442 187256 210663 280884 374512 421326 561768 749024 842652 1123536 1685304 2247072 3370608 6741216