Search a number
-
+
5366016 = 283217137
BaseRepresentation
bin10100011110000100000000
3101002121210100
4110132010000
52333203031
6311002400
763416235
oct24360400
911077710
105366016
113035627
121969400
13115b576
149d978c
1570ede6
hex51e100

5366016 has 108 divisors (see below), whose sum is σ = 16501212. Its totient is φ = 1671168.

The previous prime is 5366003. The next prime is 5366017. The reversal of 5366016 is 6106635.

5366016 is a `hidden beast` number, since 53 + 6 + 601 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3686400 + 1679616 = 1920^2 + 1296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5366017) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 39100 + ... + 39236.

It is an arithmetic number, because the mean of its divisors is an integer number (152789).

Almost surely, 25366016 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 5366016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8250606).

5366016 is an abundant number, since it is smaller than the sum of its proper divisors (11135196).

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

5366016 is a wasteful number, since it uses less digits than its factorization.

5366016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5366016 is about 2316.4662743066. The cubic root of 5366016 is about 175.0722531576.

The spelling of 5366016 in words is "five million, three hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 137 144 153 192 204 256 272 274 288 306 384 408 411 544 548 576 612 768 816 822 1088 1096 1152 1224 1233 1632 1644 2176 2192 2304 2329 2448 2466 3264 3288 4352 4384 4658 4896 4932 6528 6576 6987 8768 9316 9792 9864 13056 13152 13974 17536 18632 19584 19728 20961 26304 27948 35072 37264 39168 39456 41922 52608 55896 74528 78912 83844 105216 111792 149056 157824 167688 223584 298112 315648 335376 447168 596224 670752 894336 1341504 1788672 2683008 5366016