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2009196 = 2232721767
BaseRepresentation
bin111101010100001101100
310210002002200
413222201230
51003243241
6111021500
723035500
oct7524154
93702080
102009196
1111525a2
1280a890
13554697
143a4300
1529a4b6
hex1ea86c

2009196 has 108 divisors (see below), whose sum is σ = 6348888. Its totient is φ = 532224.

The previous prime is 2009191. The next prime is 2009209. The reversal of 2009196 is 6919002.

2009196 = 1782 + 1792 + ... + 2262.

It is a happy number.

2009196 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2009191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29955 + ... + 30021.

It is an arithmetic number, because the mean of its divisors is an integer number (58786).

22009196 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 2009196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174444).

2009196 is an abundant number, since it is smaller than the sum of its proper divisors (4339692).

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

2009196 is a wasteful number, since it uses less digits than its factorization.

2009196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 2009196 is about 1417.4611105776. The cubic root of 2009196 is about 126.1849136789.

The spelling of 2009196 in words is "two million, nine thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 49 51 63 67 68 84 98 102 119 126 134 147 153 196 201 204 238 252 268 294 306 357 402 441 469 476 588 603 612 714 804 833 882 938 1071 1139 1206 1407 1428 1666 1764 1876 2142 2278 2412 2499 2814 3283 3332 3417 4221 4284 4556 4998 5628 6566 6834 7497 7973 8442 9849 9996 10251 13132 13668 14994 15946 16884 19698 20502 23919 29547 29988 31892 39396 41004 47838 55811 59094 71757 95676 111622 118188 143514 167433 223244 287028 334866 502299 669732 1004598 2009196