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2082267 = 35111941
BaseRepresentation
bin111111100010111011011
310220210100000
413330113123
51013113032
6112344043
723461515
oct7742733
93823300
102082267
1111a2490
12845023
1357ba15
143c2bb5
152b1e7c
hex1fc5db

2082267 has 48 divisors (see below), whose sum is σ = 3669120. Its totient is φ = 1166400.

The previous prime is 2082257. The next prime is 2082281. The reversal of 2082267 is 7622802.

It is not a de Polignac number, because 2082267 - 211 = 2080219 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2082267.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50767 + ... + 50807.

It is an arithmetic number, because the mean of its divisors is an integer number (76440).

22082267 is an apocalyptic number.

2082267 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2082267 is a deficient number, since it is larger than the sum of its proper divisors (1586853).

2082267 is a wasteful number, since it uses less digits than its factorization.

2082267 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 2688, while the sum is 27.

The square root of 2082267 is about 1443.0062369928. The cubic root of 2082267 is about 127.6964445790.

The spelling of 2082267 in words is "two million, eighty-two thousand, two hundred sixty-seven".

Divisors: 1 3 9 11 19 27 33 41 57 81 99 123 171 209 243 297 369 451 513 627 779 891 1107 1353 1539 1881 2337 2673 3321 4059 4617 5643 7011 8569 9963 12177 16929 21033 25707 36531 50787 63099 77121 109593 189297 231363 694089 2082267