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2664816 = 2437211103
BaseRepresentation
bin1010001010100101110000
312000101102220
422022211300
51140233231
6133041040
731436100
oct12124560
95011386
102664816
111560130
12a86180
13723c1b
144d5200
15379896
hex28a970

2664816 has 120 divisors (see below), whose sum is σ = 8820864. Its totient is φ = 685440.

The previous prime is 2664811. The next prime is 2664817. The reversal of 2664816 is 6184662.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2664811) 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, 25821 + ... + 25923.

22664816 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 2664816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4410432).

2664816 is an abundant number, since it is smaller than the sum of its proper divisors (6156048).

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

2664816 is a wasteful number, since it uses less digits than its factorization.

2664816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 2664816 is about 1632.4264148806. The cubic root of 2664816 is about 138.6401679312.

The spelling of 2664816 in words is "two million, six hundred sixty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 103 112 132 147 154 168 176 196 206 231 264 294 308 309 336 392 412 462 528 539 588 616 618 721 784 824 924 1078 1133 1176 1232 1236 1442 1617 1648 1848 2156 2163 2266 2352 2472 2884 3234 3399 3696 4312 4326 4532 4944 5047 5768 6468 6798 7931 8624 8652 9064 10094 11536 12936 13596 15141 15862 17304 18128 20188 23793 25872 27192 30282 31724 34608 40376 47586 54384 55517 60564 63448 80752 95172 111034 121128 126896 166551 190344 222068 242256 333102 380688 444136 666204 888272 1332408 2664816