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2119005 = 32572312
BaseRepresentation
bin1000000101010101011101
310222122201200
420011111131
51020302010
6113230113
724003600
oct10052535
93878650
102119005
111218049
12862339
13592665
143d2337
152bccc0
hex20555d

2119005 has 54 divisors (see below), whose sum is σ = 4414878. Its totient is φ = 937440.

The previous prime is 2118973. The next prime is 2119031. The reversal of 2119005 is 5009112.

It can be written as a sum of positive squares in only one way, i.e., 1695204 + 423801 = 1302^2 + 651^2 .

It is not a de Polignac number, because 2119005 - 25 = 2118973 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 68340 + ... + 68370.

It is an arithmetic number, because the mean of its divisors is an integer number (81757).

22119005 is an apocalyptic number.

It is an amenable number.

2119005 is an abundant number, since it is smaller than the sum of its proper divisors (2295873).

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

2119005 is a wasteful number, since it uses less digits than its factorization.

2119005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 2119005 is about 1455.6802533524. The cubic root of 2119005 is about 128.4430650083.

It can be divided in two parts, 211 and 9005, that added together give a square (9216 = 962).

The spelling of 2119005 in words is "two million, one hundred nineteen thousand, five".

Divisors: 1 3 5 7 9 15 21 31 35 45 49 63 93 105 147 155 217 245 279 315 441 465 651 735 961 1085 1395 1519 1953 2205 2883 3255 4557 4805 6727 7595 8649 9765 13671 14415 20181 22785 33635 43245 47089 60543 68355 100905 141267 235445 302715 423801 706335 2119005