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2020544000 = 2953131241
BaseRepresentation
bin111100001101111…
…0000111000000000
312012211000021021222
41320123300320000
513114224402000
6532255134212
7101033224556
oct17033607000
95184007258
102020544000
119475a9682
12484814368
132627bb287
141524c5bd6
15bc5bea85
hex786f0e00

2020544000 has 160 divisors (see below), whose sum is σ = 5097879072. Its totient is φ = 798720000.

The previous prime is 2020543981. The next prime is 2020544003. The reversal of 2020544000 is 4450202.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 2020544000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020544003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8383880 + ... + 8384120.

Almost surely, 22020544000 is an apocalyptic number.

2020544000 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 2020544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548939536).

2020544000 is an abundant number, since it is smaller than the sum of its proper divisors (3077335072).

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

2020544000 is an equidigital number, since it uses as much as digits as its factorization.

2020544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 2020544000 is about 44950.4616216563. The cubic root of 2020544000 is about 1264.2203322580.

Adding to 2020544000 its reverse (4450202), we get a palindrome (2024994202).

The spelling of 2020544000 in words is "two billion, twenty million, five hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 131 160 200 241 250 256 262 320 400 482 500 512 524 640 655 800 964 1000 1048 1205 1280 1310 1600 1928 2000 2096 2410 2560 2620 3200 3275 3856 4000 4192 4820 5240 6025 6400 6550 7712 8000 8384 9640 10480 12050 12800 13100 15424 16000 16375 16768 19280 20960 24100 26200 30125 30848 31571 32000 32750 33536 38560 41920 48200 52400 60250 61696 63142 64000 65500 67072 77120 83840 96400 104800 120500 123392 126284 131000 154240 157855 167680 192800 209600 241000 252568 262000 308480 315710 335360 385600 419200 482000 505136 524000 616960 631420 771200 789275 838400 964000 1010272 1048000 1262840 1542400 1578550 1676800 1928000 2020544 2096000 2525680 3084800 3157100 3856000 3946375 4041088 4192000 5051360 6314200 7712000 7892750 8082176 8384000 10102720 12628400 15424000 15785500 16164352 20205440 25256800 31571000 40410880 50513600 63142000 80821760 101027200 126284000 202054400 252568000 404108800 505136000 1010272000 2020544000