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2009420 = 225731463
BaseRepresentation
bin111101010100101001100
310210002101222
413222211030
51003300140
6111022512
723036240
oct7524514
93702358
102009420
111152786
1280aa38
1355480a
143a4420
1529a5b5
hex1ea94c

2009420 has 48 divisors (see below), whose sum is σ = 4988928. Its totient is φ = 665280.

The previous prime is 2009407. The next prime is 2009437. The reversal of 2009420 is 249002.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4109 + ... + 4571.

It is an arithmetic number, because the mean of its divisors is an integer number (103936).

22009420 is an apocalyptic number.

2009420 is a gapful number since it is divisible by the number (20) 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 2009420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494464).

2009420 is an abundant number, since it is smaller than the sum of its proper divisors (2979508).

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

2009420 is a wasteful number, since it uses less digits than its factorization.

2009420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2009420 is about 1417.5401228889. The cubic root of 2009420 is about 126.1896028465.

The spelling of 2009420 in words is "two million, nine thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 463 620 868 926 1085 1852 2170 2315 3241 4340 4630 6482 9260 12964 14353 16205 28706 32410 57412 64820 71765 100471 143530 200942 287060 401884 502355 1004710 2009420