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630517080 = 233517218181
BaseRepresentation
bin100101100101001…
…110110101011000
31121221102120211110
4211211032311120
52242403021310
6142322100320
721424210134
oct4545166530
91557376743
10630517080
112a3a018a6
121571aa6a0
13a082203b
145da4c3c4
153a549d20
hex2594ed58

630517080 has 96 divisors (see below), whose sum is σ = 2009474640. Its totient is φ = 158238720.

The previous prime is 630517057. The next prime is 630517093. The reversal of 630517080 is 80715036.

630517080 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25590 + ... + 43770.

Almost surely, 2630517080 is an apocalyptic number.

630517080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630517080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004737320).

630517080 is an abundant number, since it is smaller than the sum of its proper divisors (1378957560).

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

630517080 is a wasteful number, since it uses less digits than its factorization.

630517080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18229 (or 18208 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 630517080 is about 25110.0991634840. The cubic root of 630517080 is about 857.4963600613.

The spelling of 630517080 in words is "six hundred thirty million, five hundred seventeen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 289 340 408 510 578 680 867 1020 1156 1445 1734 2040 2312 2890 3468 4335 5780 6936 8670 11560 17340 18181 34680 36362 54543 72724 90905 109086 145448 181810 218172 272715 309077 363620 436344 545430 618154 727240 927231 1090860 1236308 1545385 1854462 2181720 2472616 3090770 3708924 4636155 5254309 6181540 7417848 9272310 10508618 12363080 15762927 18544620 21017236 26271545 31525854 37089240 42034472 52543090 63051708 78814635 105086180 126103416 157629270 210172360 315258540 630517080