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1028440530 = 233513377919
BaseRepresentation
bin111101010011001…
…100000111010010
32122200012012012000
4331103030013102
54101240044110
6250015014430
734325412615
oct7523140722
92580165160
101028440530
11488589657
1224850a416
131350b73c0
149a83217c
156044d1c0
hex3d4cc1d2

1028440530 has 128 divisors (see below), whose sum is σ = 3033676800. Its totient is φ = 246281472.

The previous prime is 1028440507. The next prime is 1028440537. The reversal of 1028440530 is 350448201.

1028440530 is a `hidden beast` number, since 10 + 2 + 84 + 40 + 530 = 666.

1028440530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1028440494 and 1028440503.

It is not an unprimeable number, because it can be changed into a prime (1028440537) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125911 + ... + 133829.

It is an arithmetic number, because the mean of its divisors is an integer number (23700600).

Almost surely, 21028440530 is an apocalyptic number.

1028440530 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 1028440530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516838400).

1028440530 is an abundant number, since it is smaller than the sum of its proper divisors (2005236270).

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

1028440530 is a wasteful number, since it uses less digits than its factorization.

1028440530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7985 (or 7979 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1028440530 is about 32069.3082245314. The cubic root of 1028440530 is about 1009.3916965738.

Adding to 1028440530 its reverse (350448201), we get a palindrome (1378888731).

The spelling of 1028440530 in words is "one billion, twenty-eight million, four hundred forty thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 37 39 45 54 65 74 78 90 111 117 130 135 185 195 222 234 270 333 351 370 390 481 555 585 666 702 962 999 1110 1170 1443 1665 1755 1998 2405 2886 3330 3510 4329 4810 4995 7215 7919 8658 9990 12987 14430 15838 21645 23757 25974 39595 43290 47514 64935 71271 79190 102947 118785 129870 142542 205894 213813 237570 293003 308841 356355 427626 514735 586006 617682 712710 879009 926523 1029470 1069065 1465015 1544205 1758018 1853046 2138130 2637027 2779569 2930030 3088410 3809039 4395045 4632615 5274054 5559138 7618078 7911081 8790090 9265230 11427117 13185135 13897845 15822162 19045195 22854234 26370270 27795690 34281351 38090390 39555405 57135585 68562702 79110810 102844053 114271170 171406755 205688106 342813510 514220265 1028440530