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1003055250 = 235317151521
BaseRepresentation
bin111011110010010…
…110100010010010
32120220102111010110
4323302112202102
54023240232000
6243310542150
733566554221
oct7362264222
92526374113
101003055250
1147522028a
1223bb07956
1312ca69a22
1497304cb8
155d0d6850
hex3bc96892

1003055250 has 128 divisors (see below), whose sum is σ = 2673575424. Its totient is φ = 249600000.

The previous prime is 1003055213. The next prime is 1003055257. The reversal of 1003055250 is 525503001.

1003055250 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10030552502 = 2012239669105125000, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1003055257) 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, 1924990 + ... + 1925510.

It is an arithmetic number, because the mean of its divisors is an integer number (20887308).

Almost surely, 21003055250 is an apocalyptic number.

1003055250 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 1003055250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336787712).

1003055250 is an abundant number, since it is smaller than the sum of its proper divisors (1670520174).

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

1003055250 is a wasteful number, since it uses less digits than its factorization.

1003055250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 1003055250 is about 31671.0475039901. The cubic root of 1003055250 is about 1001.0173812510.

Adding to 1003055250 its reverse (525503001), we get a palindrome (1528558251).

The spelling of 1003055250 in words is "one billion, three million, fifty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 125 150 151 170 250 255 302 375 425 453 510 521 750 755 850 906 1042 1275 1510 1563 2125 2265 2550 2567 2605 3126 3775 4250 4530 5134 5210 6375 7550 7701 7815 8857 11325 12750 12835 13025 15402 15630 17714 18875 22650 25670 26050 26571 37750 38505 39075 44285 53142 56625 64175 65125 77010 78150 78671 88570 113250 128350 130250 132855 157342 192525 195375 221425 236013 265710 320875 385050 390750 393355 442850 472026 641750 664275 786710 962625 1107125 1180065 1328550 1337407 1925250 1966775 2214250 2360130 2674814 3321375 3933550 4012221 5900325 6642750 6687035 8024442 9833875 11800650 13374070 19667750 20061105 29501625 33435175 40122210 59003250 66870350 100305525 167175875 200611050 334351750 501527625 1003055250