Search a number
-
+
2686669830 = 2335131315843
BaseRepresentation
bin1010000000100011…
…0101010000000110
320221020102222011000
42200020311100012
521000241413310
61122332354130
7123402213435
oct24010652006
96836388130
102686669830
111159611899
1262b915946
1333a7ca180
141b6b6311c
1510ad004c0
hexa0235406

2686669830 has 128 divisors (see below), whose sum is σ = 7775792640. Its totient is φ = 656173440.

The previous prime is 2686669829. The next prime is 2686669837. The reversal of 2686669830 is 389666862.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2686669837) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 456889 + ... + 462731.

It is an arithmetic number, because the mean of its divisors is an integer number (60748380).

Almost surely, 22686669830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2686669830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887896320).

2686669830 is an abundant number, since it is smaller than the sum of its proper divisors (5089122810).

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

2686669830 is a wasteful number, since it uses less digits than its factorization.

2686669830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6003 (or 5997 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 2686669830 is about 51833.0958944187. The cubic root of 2686669830 is about 1390.1812695984.

The spelling of 2686669830 in words is "two billion, six hundred eighty-six million, six hundred sixty-nine thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 131 135 195 234 262 270 351 390 393 585 655 702 786 1170 1179 1310 1703 1755 1965 2358 3406 3510 3537 3930 5109 5843 5895 7074 8515 10218 11686 11790 15327 17030 17529 17685 25545 29215 30654 35058 35370 45981 51090 52587 58430 75959 76635 87645 91962 105174 151918 153270 157761 175290 227877 229905 262935 315522 379795 455754 459810 525870 683631 759590 765433 788805 1139385 1367262 1530866 1577610 2050893 2278770 2296299 3418155 3827165 4101786 4592598 6836310 6888897 7654330 9950629 10254465 11481495 13777794 19901258 20508930 20666691 22962990 29851887 34444485 41333382 49753145 59703774 68888970 89555661 99506290 103333455 149259435 179111322 206666910 268666983 298518870 447778305 537333966 895556610 1343334915 2686669830