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2119208 = 237134171
BaseRepresentation
bin1000000101011000101000
310222200000012
420011120220
51020303313
6113231052
724004310
oct10053050
93880005
102119208
111218213
12862488
13592790
143d2440
152bcda8
hex205628

2119208 has 64 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 806400.

The previous prime is 2119199. The next prime is 2119211. The reversal of 2119208 is 8029112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29813 + ... + 29883.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

22119208 is an apocalyptic number.

2119208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2119208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160).

2119208 is an abundant number, since it is smaller than the sum of its proper divisors (2961112).

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

2119208 is a wasteful number, since it uses less digits than its factorization.

2119208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 2119208 is about 1455.7499785334. The cubic root of 2119208 is about 128.4471664788.

The spelling of 2119208 in words is "two million, one hundred nineteen thousand, two hundred eight".

Divisors: 1 2 4 7 8 13 14 26 28 41 52 56 71 82 91 104 142 164 182 284 287 328 364 497 533 568 574 728 923 994 1066 1148 1846 1988 2132 2296 2911 3692 3731 3976 4264 5822 6461 7384 7462 11644 12922 14924 20377 23288 25844 29848 37843 40754 51688 75686 81508 151372 163016 264901 302744 529802 1059604 2119208