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6707042820 = 22325314327953
BaseRepresentation
bin1100011111100010…
…10101101000000100
3122022102111002002100
412033301111220010
5102214000332240
63025311112100
7325130631462
oct61761255004
918272432070
106707042820
112931a505a5
121372212630
1382b7029ba
14478a9b832
15293c4be30
hex18fc55a04

6707042820 has 144 divisors (see below), whose sum is σ = 21490140672. Its totient is φ = 1690536960.

The previous prime is 6707042819. The next prime is 6707042821. The reversal of 6707042820 is 282407076.

It is an interprime number because it is at equal distance from previous prime (6707042819) and next prime (6707042821).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6707042821) 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, 225964 + ... + 253916.

It is an arithmetic number, because the mean of its divisors is an integer number (149237088).

Almost surely, 26707042820 is an apocalyptic number.

6707042820 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 6707042820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10745070336).

6707042820 is an abundant number, since it is smaller than the sum of its proper divisors (14783097852).

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

6707042820 is a wasteful number, since it uses less digits than its factorization.

6707042820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28042 (or 28037 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 6707042820 is about 81896.5372894361. The cubic root of 6707042820 is about 1885.8639544232.

Adding to 6707042820 its reverse (282407076), we get a palindrome (6989449896).

The spelling of 6707042820 in words is "six billion, seven hundred seven million, forty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 43 45 60 62 86 90 93 124 129 155 172 180 186 215 258 279 310 372 387 430 465 516 558 620 645 774 860 930 1116 1290 1333 1395 1548 1860 1935 2580 2666 2790 3870 3999 5332 5580 6665 7740 7998 11997 13330 15996 19995 23994 26660 27953 39990 47988 55906 59985 79980 83859 111812 119970 139765 167718 239940 251577 279530 335436 419295 503154 559060 838590 866543 1006308 1201979 1257885 1677180 1733086 2403958 2515770 2599629 3466172 3605937 4332715 4807916 5031540 5199258 6009895 7211874 7798887 8665430 10398516 10817811 12019790 12998145 14423748 15597774 17330860 18029685 21635622 24039580 25996290 31195548 36059370 37261349 38994435 43271244 51992580 54089055 72118740 74522698 77988870 108178110 111784047 149045396 155977740 186306745 216356220 223568094 335352141 372613490 447136188 558920235 670704282 745226980 1117840470 1341408564 1676760705 2235680940 3353521410 6707042820