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6306300630 = 233576749801
BaseRepresentation
bin1011101111110001…
…01000001011010110
3121021111102021011000
411313320220023112
5100403403110010
62521433524130
7312163446060
oct56770501326
917244367130
106306300630
112746819003
12127bb73646
13796691646
1443b782730
1526d98d7c0
hex177e282d6

6306300630 has 128 divisors (see below), whose sum is σ = 19506447360. Its totient is φ = 1419897600.

The previous prime is 6306300601. The next prime is 6306300661. The reversal of 6306300630 is 360036036.

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

It is a junction number, because it is equal to n+sod(n) for n = 6306300594 and 6306300603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101730 + ... + 151530.

It is an arithmetic number, because the mean of its divisors is an integer number (152394120).

Almost surely, 26306300630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6306300630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9753223680).

6306300630 is an abundant number, since it is smaller than the sum of its proper divisors (13200146730).

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

6306300630 is a wasteful number, since it uses less digits than its factorization.

6306300630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49891 (or 49885 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 6306300630 is about 79412.2196516380. The cubic root of 6306300630 is about 1847.5302451220.

Adding to 6306300630 its reverse (360036036), we get a palindrome (6666336666).

It can be divided in two parts, 6306 and 300630, that added together give a triangular number (306936 = T783).

The spelling of 6306300630 in words is "six billion, three hundred six million, three hundred thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 67 70 90 105 126 134 135 189 201 210 270 315 335 378 402 469 603 630 670 938 945 1005 1206 1407 1809 1890 2010 2345 2814 3015 3618 4221 4690 6030 7035 8442 9045 12663 14070 18090 21105 25326 42210 49801 63315 99602 126630 149403 249005 298806 348607 448209 498010 697214 747015 896418 1045821 1344627 1494030 1743035 2091642 2241045 2689254 3137463 3336667 3486070 4482090 5229105 6274926 6673334 6723135 9412389 10010001 10458210 13446270 15687315 16683335 18824778 20020002 23356669 30030003 31374630 33366670 46713338 47061945 50050005 60060006 70070007 90090009 94123890 100100010 116783345 140140014 150150015 180180018 210210021 233566690 300300030 350350035 420420042 450450045 630630063 700700070 900900090 1051050105 1261260126 2102100210 3153150315 6306300630