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11244816 = 24321131229
BaseRepresentation
bin101010111001…
…010100010000
3210011021222200
4222321110100
510334313231
61041003200
7164402502
oct52712420
923137880
1011244816
116390440
123923500
13243934b
1416c9d72
15ec1be6
hexab9510

11244816 has 120 divisors (see below), whose sum is σ = 35592960. Its totient is φ = 3283200.

The previous prime is 11244809. The next prime is 11244817. The reversal of 11244816 is 61844211.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11244816.

It is not an unprimeable number, because it can be changed into a prime (11244817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48990 + ... + 49218.

It is an arithmetic number, because the mean of its divisors is an integer number (296608).

Almost surely, 211244816 is an apocalyptic number.

11244816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11244816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17796480).

11244816 is an abundant number, since it is smaller than the sum of its proper divisors (24348144).

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

11244816 is a wasteful number, since it uses less digits than its factorization.

11244816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 276 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 11244816 is about 3353.3290921113. The cubic root of 11244816 is about 224.0358148516.

The spelling of 11244816 in words is "eleven million, two hundred forty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 33 36 44 48 62 66 72 88 93 99 124 132 144 176 186 198 229 248 264 279 341 372 396 458 496 528 558 682 687 744 792 916 1023 1116 1364 1374 1488 1584 1832 2046 2061 2232 2519 2728 2748 3069 3664 4092 4122 4464 5038 5456 5496 6138 7099 7557 8184 8244 10076 10992 12276 14198 15114 16368 16488 20152 21297 22671 24552 28396 30228 32976 40304 42594 45342 49104 56792 60456 63891 78089 85188 90684 113584 120912 127782 156178 170376 181368 234267 255564 312356 340752 362736 468534 511128 624712 702801 937068 1022256 1249424 1405602 1874136 2811204 3748272 5622408 11244816