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2004447420 = 2232519756527
BaseRepresentation
bin111011101111001…
…0111000010111100
312011200201110221100
41313132113002330
513101114304140
6530522133100
7100446344013
oct16736270274
95150643840
102004447420
11939505018
1247b351190
1325c373781
141502d5a7a
15bae90530
hex777970bc

2004447420 has 72 divisors (see below), whose sum is σ = 6111129024. Its totient is φ = 531796608.

The previous prime is 2004447413. The next prime is 2004447443. The reversal of 2004447420 is 247444002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7197 + ... + 63723.

It is an arithmetic number, because the mean of its divisors is an integer number (84876792).

Almost surely, 22004447420 is an apocalyptic number.

2004447420 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 2004447420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055564512).

2004447420 is an abundant number, since it is smaller than the sum of its proper divisors (4106681604).

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

2004447420 is a wasteful number, since it uses less digits than its factorization.

2004447420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56739 (or 56734 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 2004447420 is about 44771.0556051563. The cubic root of 2004447420 is about 1260.8542581874.

The spelling of 2004447420 in words is "two billion, four million, four hundred forty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 197 394 591 788 985 1182 1773 1970 2364 2955 3546 3940 5910 7092 8865 11820 17730 35460 56527 113054 169581 226108 282635 339162 508743 565270 678324 847905 1017486 1130540 1695810 2034972 2543715 3391620 5087430 10174860 11135819 22271638 33407457 44543276 55679095 66814914 100222371 111358190 133629828 167037285 200444742 222716380 334074570 400889484 501111855 668149140 1002223710 2004447420