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2820096 = 2113417
BaseRepresentation
bin1010110000100000000000
312022021110000
422300200000
51210220341
6140240000
732653566
oct12604000
95267400
102820096
111656864
12b40000
137797c6
14535a36
153aa8b6
hex2b0800

2820096 has 120 divisors (see below), whose sum is σ = 8918910. Its totient is φ = 884736.

The previous prime is 2820089. The next prime is 2820109. The reversal of 2820096 is 6900282.

It can be written as a sum of positive squares in only one way, i.e., 2073600 + 746496 = 1440^2 + 864^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165880 + ... + 165896.

22820096 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 2820096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459455).

2820096 is an abundant number, since it is smaller than the sum of its proper divisors (6098814).

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

2820096 is an equidigital number, since it uses as much as digits as its factorization.

2820096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2820096 is about 1679.3141457154. The cubic root of 2820096 is about 141.2823676052.

The spelling of 2820096 in words is "two million, eight hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 256 272 288 306 324 384 408 432 459 512 544 576 612 648 768 816 864 918 1024 1088 1152 1224 1296 1377 1536 1632 1728 1836 2048 2176 2304 2448 2592 2754 3072 3264 3456 3672 4352 4608 4896 5184 5508 6144 6528 6912 7344 8704 9216 9792 10368 11016 13056 13824 14688 17408 18432 19584 20736 22032 26112 27648 29376 34816 39168 41472 44064 52224 55296 58752 78336 82944 88128 104448 117504 156672 165888 176256 235008 313344 352512 470016 705024 940032 1410048 2820096