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2028510540 = 22355759627
BaseRepresentation
bin111100011101000…
…1001110101001100
312020101000000100000
41320322021311030
513123244314130
6533142004300
7101161024620
oct17072116514
95211000300
102028510540
1195104aaa1
12487416690
1326434a3c4
1415359b180
15bd145260
hex78e89d4c

2028510540 has 144 divisors (see below), whose sum is σ = 7292742912. Its totient is φ = 463651776.

The previous prime is 2028510487. The next prime is 2028510569. The reversal of 2028510540 is 450158202.

It is a happy number.

2028510540 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×20285105402 = 8229710021782183200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4207 + ... + 63833.

It is an arithmetic number, because the mean of its divisors is an integer number (50644048).

Almost surely, 22028510540 is an apocalyptic number.

2028510540 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 2028510540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646371456).

2028510540 is an abundant number, since it is smaller than the sum of its proper divisors (5264232372).

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

2028510540 is a wasteful number, since it uses less digits than its factorization.

2028510540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59658 (or 59644 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2028510540 is about 45038.9891094372. The cubic root of 2028510540 is about 1265.8796633223.

Adding to 2028510540 its reverse (450158202), we get a palindrome (2478668742).

The spelling of 2028510540 in words is "two billion, twenty-eight million, five hundred ten thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1620 1701 1890 2268 2430 2835 3402 3780 4860 5670 6804 8505 11340 17010 34020 59627 119254 178881 238508 298135 357762 417389 536643 596270 715524 834778 894405 1073286 1192540 1252167 1609929 1669556 1788810 2086945 2146572 2504334 2683215 3219858 3577620 3756501 4173890 4829787 5008668 5366430 6260835 6439716 7513002 8049645 8347780 9659574 10732860 11269503 12521670 14489361 15026004 16099290 18782505 19319148 22539006 24148935 25043340 28978722 32198580 33808509 37565010 45078012 48297870 56347515 57957444 67617018 72446805 75130020 96595740 101425527 112695030 135234036 144893610 169042545 202851054 225390060 289787220 338085090 405702108 507127635 676170180 1014255270 2028510540