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630081450 = 23352563829
BaseRepresentation
bin100101100011100…
…100011110101010
31121220121110021000
4211203210132222
52242300101300
6142304455430
721420414105
oct4543443652
91556543230
10630081450
112a3734579
1215701a576
13a06cb97b
145d97773c
153a4b0c00
hex258e47aa

630081450 has 96 divisors (see below), whose sum is σ = 1741406400. Its totient is φ = 167520960.

The previous prime is 630081443. The next prime is 630081457. The reversal of 630081450 is 54180036.

630081450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (630081443) and next prime (630081457).

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (630081457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 759636 + ... + 760464.

It is an arithmetic number, because the mean of its divisors is an integer number (18139650).

Almost surely, 2630081450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630081450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870703200).

630081450 is an abundant number, since it is smaller than the sum of its proper divisors (1111324950).

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

630081450 is a wasteful number, since it uses less digits than its factorization.

630081450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 630081450 is about 25101.4232664206. The cubic root of 630081450 is about 857.2988305445.

The spelling of 630081450 in words is "six hundred thirty million, eighty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 563 675 829 1126 1350 1658 1689 2487 2815 3378 4145 4974 5067 5630 7461 8290 8445 10134 12435 14075 14922 15201 16890 20725 22383 24870 25335 28150 30402 37305 41450 42225 44766 50670 62175 74610 76005 84450 111915 124350 126675 152010 186525 223830 253350 373050 380025 466727 559575 760050 933454 1119150 1400181 2333635 2800362 4200543 4667270 7000905 8401086 11668175 12601629 14001810 21002715 23336350 25203258 35004525 42005430 63008145 70009050 105013575 126016290 210027150 315040725 630081450