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2028146480 = 245311077643
BaseRepresentation
bin111100011100011…
…0000111100110000
312020100022111221022
41320320300330300
513123201141410
6533130115012
7101154650333
oct17070607460
95210274838
102028146480
11950921518
1248727ba68
13264250799
1415350461a
15bd0c2455
hex78e30f30

2028146480 has 80 divisors (see below), whose sum is σ = 4913685504. Its totient is φ = 777649920.

The previous prime is 2028146423. The next prime is 2028146501. The reversal of 2028146480 is 846418202.

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

It is a super-2 number, since 2×20281464802 = 8226756288672780800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2028146480.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261539 + ... + 269181.

Almost surely, 22028146480 is an apocalyptic number.

2028146480 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 2028146480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456842752).

2028146480 is an abundant number, since it is smaller than the sum of its proper divisors (2885539024).

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

2028146480 is a wasteful number, since it uses less digits than its factorization.

2028146480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7794 (or 7788 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 2028146480 is about 45034.9473187213. The cubic root of 2028146480 is about 1265.8039289819.

The spelling of 2028146480 in words is "two billion, twenty-eight million, one hundred forty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 107 124 155 214 248 310 428 496 535 620 856 1070 1240 1712 2140 2480 3317 4280 6634 7643 8560 13268 15286 16585 26536 30572 33170 38215 53072 61144 66340 76430 122288 132680 152860 236933 265360 305720 473866 611440 817801 947732 1184665 1635602 1895464 2369330 3271204 3790928 4089005 4738660 6542408 8178010 9477320 13084816 16356020 18954640 25351831 32712040 50703662 65424080 101407324 126759155 202814648 253518310 405629296 507036620 1014073240 2028146480