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2196096 = 27371943
BaseRepresentation
bin1000011000001010000000
311010120110220
420120022000
51030233341
6115023040
724444420
oct10301200
94116426
102196096
11126aa61
1289aa80
135bb786
14412480
152d5a66
hex218280

2196096 has 128 divisors (see below), whose sum is σ = 7180800. Its totient is φ = 580608.

The previous prime is 2196091. The next prime is 2196107. The reversal of 2196096 is 6906912.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2196091) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 51051 + ... + 51093.

It is an arithmetic number, because the mean of its divisors is an integer number (56100).

22196096 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 2196096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590400).

2196096 is an abundant number, since it is smaller than the sum of its proper divisors (4984704).

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

2196096 is a wasteful number, since it uses less digits than its factorization.

2196096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 2196096 is about 1481.9230749266. The cubic root of 2196096 is about 129.9821671791.

The spelling of 2196096 in words is "two million, one hundred ninety-six thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 43 48 56 57 64 76 84 86 96 112 114 128 129 133 152 168 172 192 224 228 258 266 301 304 336 344 384 399 448 456 516 532 602 608 672 688 798 817 896 903 912 1032 1064 1204 1216 1344 1376 1596 1634 1806 1824 2064 2128 2408 2432 2451 2688 2752 3192 3268 3612 3648 4128 4256 4816 4902 5504 5719 6384 6536 7224 7296 8256 8512 9632 9804 11438 12768 13072 14448 16512 17024 17157 19264 19608 22876 25536 26144 28896 34314 38528 39216 45752 51072 52288 57792 68628 78432 91504 104576 115584 137256 156864 183008 274512 313728 366016 549024 732032 1098048 2196096