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630250000 = 24562521
BaseRepresentation
bin100101100100001…
…101101000010000
31121220221000110121
4211210031220100
52242321000000
6142312240024
721422015362
oct4544155020
91556830417
10630250000
112a383a176
121570a0014
13a075a5c3
145d9bcd32
153a4e5b1a
hex2590da10

630250000 has 70 divisors (see below), whose sum is σ = 1526972642. Its totient is φ = 252000000.

The previous prime is 630249877. The next prime is 630250001. The reversal of 630250000 is 52036.

It can be written as a sum of positive squares in 7 ways, for example, as 529368064 + 100881936 = 23008^2 + 10044^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (630250001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 248740 + ... + 251260.

Almost surely, 2630250000 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 630250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763486321).

630250000 is an abundant number, since it is smaller than the sum of its proper divisors (896722642).

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

630250000 is an frugal number, since it uses more digits than its factorization.

630250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 630250000 is about 25104.7804212664. The cubic root of 630250000 is about 857.3752676650.

The spelling of 630250000 in words is "six hundred thirty million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 2521 3125 5000 5042 6250 10000 10084 12500 12605 15625 20168 25000 25210 31250 40336 50000 50420 62500 63025 100840 125000 126050 201680 250000 252100 315125 504200 630250 1008400 1260500 1575625 2521000 3151250 5042000 6302500 7878125 12605000 15756250 25210000 31512500 39390625 63025000 78781250 126050000 157562500 315125000 630250000