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2685629820 = 223531247991
BaseRepresentation
bin1010000000010011…
…0111010101111100
320221011111010112010
42200010313111330
521000010123240
61122254211220
7123360322356
oct24004672574
96834433463
102685629820
111158a71485
1262b4b3b10
1333a524993
141b69720d6
1510ab97280
hexa013757c

2685629820 has 144 divisors (see below), whose sum is σ = 7943491584. Its totient is φ = 677635200.

The previous prime is 2685629819. The next prime is 2685629827. The reversal of 2685629820 is 289265862.

It is a self number, because there is not a number n which added to its sum of digits gives 2685629820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2685629827) 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, 2709525 + ... + 2710515.

It is an arithmetic number, because the mean of its divisors is an integer number (55163136).

Almost surely, 22685629820 is an apocalyptic number.

2685629820 is a gapful number since it is divisible by the number (20) 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 2685629820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971745792).

2685629820 is an abundant number, since it is smaller than the sum of its proper divisors (5257861764).

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

2685629820 is a wasteful number, since it uses less digits than its factorization.

2685629820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 2685629820 is about 51823.0626265951. The cubic root of 2685629820 is about 1390.0018667056.

The spelling of 2685629820 in words is "two billion, six hundred eighty-five million, six hundred twenty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 47 60 62 93 94 124 141 155 186 188 235 282 310 372 465 470 564 620 705 930 940 961 991 1410 1457 1860 1922 1982 2820 2883 2914 2973 3844 3964 4371 4805 4955 5766 5828 5946 7285 8742 9610 9910 11532 11892 14415 14570 14865 17484 19220 19820 21855 28830 29140 29730 30721 43710 45167 46577 57660 59460 61442 87420 90334 92163 93154 122884 135501 139731 153605 180668 184326 186308 225835 232885 271002 279462 307210 368652 451670 460815 465770 542004 558924 614420 677505 698655 903340 921630 931540 952351 1355010 1397310 1443887 1843260 1904702 2710020 2794620 2857053 2887774 3809404 4331661 4761755 5714106 5775548 7219435 8663322 9523510 11428212 14285265 14438870 17326644 19047020 21658305 28570530 28877740 43316610 44760497 57141060 86633220 89520994 134281491 179041988 223802485 268562982 447604970 537125964 671407455 895209940 1342814910 2685629820