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1028553030 = 2325193119403
BaseRepresentation
bin111101010011100…
…111100101000110
32122200101220111200
4331103213211012
54101302144110
6250021243330
734326361611
oct7523474506
92580356450
101028553030
1148865612a
12248563546
1313512667b
149a861178
15604716c0
hex3d4e7946

1028553030 has 96 divisors (see below), whose sum is σ = 2905943040. Its totient is φ = 251449920.

The previous prime is 1028553017. The next prime is 1028553037. The reversal of 1028553030 is 303558201.

1028553030 is a `hidden beast` number, since 102 + 8 + 553 + 0 + 3 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1028552985 and 1028553003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028553037) 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 47 ways as a sum of consecutive naturals, for example, 43309 + ... + 62711.

It is an arithmetic number, because the mean of its divisors is an integer number (30270240).

Almost surely, 21028553030 is an apocalyptic number.

1028553030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028553030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452971520).

1028553030 is an abundant number, since it is smaller than the sum of its proper divisors (1877390010).

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

1028553030 is a wasteful number, since it uses less digits than its factorization.

1028553030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19466 (or 19463 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1028553030 is about 32071.0621900803. The cubic root of 1028553030 is about 1009.4285006548.

The spelling of 1028553030 in words is "one billion, twenty-eight million, five hundred fifty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 31 38 45 57 62 90 93 95 114 155 171 186 190 279 285 310 342 465 558 570 589 855 930 1178 1395 1710 1767 2790 2945 3534 5301 5890 8835 10602 17670 19403 26505 38806 53010 58209 97015 116418 174627 194030 291045 349254 368657 582090 601493 737314 873135 1105971 1202986 1746270 1804479 1843285 2211942 3007465 3317913 3608958 3686570 5413437 5529855 6014930 6635826 9022395 10826874 11059710 11428367 16589565 18044790 22856734 27067185 33179130 34285101 54134370 57141835 68570202 102855303 114283670 171425505 205710606 342851010 514276515 1028553030