Search a number
-
+
2001689085 = 351123741727
BaseRepresentation
bin111011101001111…
…0101100111111101
312011111112100012210
41313103311213331
513044413022320
6530343051033
7100414035144
oct16723654775
95144470183
102001689085
119379a0700
1247a440a79
1325b919116
1414dbb875b
15baae80e0
hex774f59fd

2001689085 has 96 divisors (see below), whose sum is σ = 3708746496. Its totient is φ = 919987200.

The previous prime is 2001689077. The next prime is 2001689093. The reversal of 2001689085 is 5809861002.

It is an interprime number because it is at equal distance from previous prime (2001689077) and next prime (2001689093).

It is not a de Polignac number, because 2001689085 - 23 = 2001689077 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2752992 + ... + 2753718.

It is an arithmetic number, because the mean of its divisors is an integer number (38632776).

Almost surely, 22001689085 is an apocalyptic number.

It is an amenable number.

2001689085 is a deficient number, since it is larger than the sum of its proper divisors (1707057411).

2001689085 is a wasteful number, since it uses less digits than its factorization.

2001689085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 2001689085 is about 44740.2401088774. The cubic root of 2001689085 is about 1260.2756357171.

The spelling of 2001689085 in words is "two billion, one million, six hundred eighty-nine thousand, eighty-five".

Divisors: 1 3 5 11 15 33 37 41 55 111 121 123 165 185 205 363 407 451 555 605 615 727 1221 1353 1517 1815 2035 2181 2255 3635 4477 4551 4961 6105 6765 7585 7997 10905 13431 14883 16687 22385 22755 23991 24805 26899 29807 39985 50061 67155 74415 80697 83435 87967 89421 119955 134495 149035 183557 250305 263901 295889 327877 403485 439835 447105 550671 887667 917785 983631 1102859 1319505 1479445 1639385 2753355 3254779 3308577 3606647 4438335 4918155 5514295 9764337 10819941 12131449 16273895 16542885 18033235 36394347 48821685 54099705 60657245 133445939 181971735 400337817 667229695 2001689085