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2030205440 = 2954318443
BaseRepresentation
bin111100100000010…
…0111101000000000
312020111012010022002
41321000213220000
513124213033230
6533242203132
7101211314204
oct17100475000
95214163262
102030205440
11951aa843a
12487ab34a8
132647c19c3
141538bcb04
15bd37c545
hex79027a00

2030205440 has 80 divisors (see below), whose sum is σ = 4981207968. Its totient is φ = 793153536.

The previous prime is 2030205431. The next prime is 2030205451. The reversal of 2030205440 is 445020302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 100859 + ... + 119301.

Almost surely, 22030205440 is an apocalyptic number.

2030205440 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 2030205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490603984).

2030205440 is an abundant number, since it is smaller than the sum of its proper divisors (2951002528).

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

2030205440 is an equidigital number, since it uses as much as digits as its factorization.

2030205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18509 (or 18493 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2030205440 is about 45057.8011003644. The cubic root of 2030205440 is about 1266.2321291859.

Adding to 2030205440 its reverse (445020302), we get a palindrome (2475225742).

The spelling of 2030205440 in words is "two billion, thirty million, two hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 256 320 344 430 512 640 688 860 1280 1376 1720 2560 2752 3440 5504 6880 11008 13760 18443 22016 27520 36886 55040 73772 92215 110080 147544 184430 295088 368860 590176 737720 793049 1180352 1475440 1586098 2360704 2950880 3172196 3965245 4721408 5901760 6344392 7930490 9442816 11803520 12688784 15860980 23607040 25377568 31721960 47214080 50755136 63443920 101510272 126887840 203020544 253775680 406041088 507551360 1015102720 2030205440