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903125000 = 2358172
BaseRepresentation
bin110101110101001…
…001100000001000
32022221101111121002
4311311021200020
53322200000000
6225341034132
731244302331
oct6565114010
92287344532
10903125000
114238771a8
12212555948
1311514bbbb
1487d31288
15544478d5
hex35d49808

903125000 has 108 divisors (see below), whose sum is σ = 2248534005. Its totient is φ = 340000000.

The previous prime is 903124997. The next prime is 903125023. The reversal of 903125000 is 521309.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 837870916 + 65254084 = 28946^2 + 8078^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=21250.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53124992 + ... + 53125008.

Almost surely, 2903125000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 903125000

903125000 is an abundant number, since it is smaller than the sum of its proper divisors (1345409005).

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

903125000 is an frugal number, since it uses more digits than its factorization.

903125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 903125000 is about 30052.0382004283. The cubic root of 903125000 is about 966.6055582985.

Adding to 903125000 its reverse (521309), we get a palindrome (903646309).

The spelling of 903125000 in words is "nine hundred three million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 289 340 425 500 578 625 680 850 1000 1156 1250 1445 1700 2125 2312 2500 2890 3125 3400 4250 5000 5780 6250 7225 8500 10625 11560 12500 14450 15625 17000 21250 25000 28900 31250 36125 42500 53125 57800 62500 72250 78125 85000 106250 125000 144500 156250 180625 212500 265625 289000 312500 361250 390625 425000 531250 625000 722500 781250 903125 1062500 1328125 1445000 1562500 1806250 2125000 2656250 3125000 3612500 4515625 5312500 6640625 7225000 9031250 10625000 13281250 18062500 22578125 26562500 36125000 45156250 53125000 90312500 112890625 180625000 225781250 451562500 903125000