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2054540000 = 2554432389
BaseRepresentation
bin111101001110101…
…1100101011100000
312022011222110001002
41322131130223200
513201430240000
6535511531132
7101625205352
oct17235345340
95264873032
102054540000
11964809347
12494089aa8
13269862056
14156c150d2
15c05878d5
hex7a75cae0

2054540000 has 120 divisors (see below), whose sum is σ = 5174187480. Its totient is φ = 802368000.

The previous prime is 2054539987. The next prime is 2054540017. The reversal of 2054540000 is 454502.

It is a happy number.

It is a super-2 number, since 2×20545400002 = 8442269223200000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 858806 + ... + 861194.

It is an arithmetic number, because the mean of its divisors is an integer number (43118229).

Almost surely, 22054540000 is an apocalyptic number.

2054540000 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 2054540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587093740).

2054540000 is an abundant number, since it is smaller than the sum of its proper divisors (3119647480).

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

2054540000 is an equidigital number, since it uses as much as digits as its factorization.

2054540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 2054540000 is about 45327.0338760436. The cubic root of 2054540000 is about 1271.2711764331.

Adding to 2054540000 its reverse (454502), we get a palindrome (2054994502).

The spelling of 2054540000 in words is "two billion, fifty-four million, five hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 125 160 172 200 215 250 344 400 430 500 625 688 800 860 1000 1075 1250 1376 1720 2000 2150 2389 2500 3440 4000 4300 4778 5000 5375 6880 8600 9556 10000 10750 11945 17200 19112 20000 21500 23890 26875 34400 38224 43000 47780 53750 59725 76448 86000 95560 102727 107500 119450 172000 191120 205454 215000 238900 298625 382240 410908 430000 477800 513635 597250 821816 860000 955600 1027270 1194500 1493125 1643632 1911200 2054540 2389000 2568175 2986250 3287264 4109080 4778000 5136350 5972500 8218160 9556000 10272700 11945000 12840875 16436320 20545400 23890000 25681750 41090800 47780000 51363500 64204375 82181600 102727000 128408750 205454000 256817500 410908000 513635000 1027270000 2054540000