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2054241200 = 245211242443
BaseRepresentation
bin111101001110001…
…0011101110110000
312022011102021011102
41322130103232300
513201341204300
6535501303532
7101622522254
oct17234235660
95264367142
102054241200
11964624900
12493b64ba8
1326978904b
14156b78264
15c05290d5
hex7a713bb0

2054241200 has 90 divisors (see below), whose sum is σ = 5424894972. Its totient is φ = 746979200.

The previous prime is 2054241197. The next prime is 2054241209. The reversal of 2054241200 is 21424502.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2054241209) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 27179 + ... + 69621.

Almost surely, 22054241200 is an apocalyptic number.

2054241200 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 2054241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712447486).

2054241200 is an abundant number, since it is smaller than the sum of its proper divisors (3370653772).

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

2054241200 is a wasteful number, since it uses less digits than its factorization.

2054241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42483 (or 42461 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2054241200 is about 45323.7377099462. The cubic root of 2054241200 is about 1271.2095447550.

Adding to 2054241200 its reverse (21424502), we get a palindrome (2075665702).

The spelling of 2054241200 in words is "two billion, fifty-four million, two hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 176 200 220 242 275 400 440 484 550 605 880 968 1100 1210 1936 2200 2420 3025 4400 4840 6050 9680 12100 24200 42443 48400 84886 169772 212215 339544 424430 466873 679088 848860 933746 1061075 1697720 1867492 2122150 2334365 3395440 3734984 4244300 4668730 5135603 7469968 8488600 9337460 10271206 11671825 16977200 18674920 20542412 23343650 25678015 37349840 41084824 46687300 51356030 82169648 93374600 102712060 128390075 186749200 205424120 256780150 410848240 513560300 1027120600 2054241200