Search a number
-
+
2101608 = 2332172101
BaseRepresentation
bin1000000001000101101000
310221202212100
420001011220
51014222413
6113013400
723602065
oct10010550
93852770
102101608
111205a73
12854260
13587772
143c9c6c
152b7a73
hex201168

2101608 has 72 divisors (see below), whose sum is σ = 6106230. Its totient is φ = 652800.

The previous prime is 2101607. The next prime is 2101613. The reversal of 2101608 is 8061012.

It can be written as a sum of positive squares in 3 ways, for example, as 2022084 + 79524 = 1422^2 + 282^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2101607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20758 + ... + 20858.

22101608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053115).

2101608 is an abundant number, since it is smaller than the sum of its proper divisors (4004622).

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

2101608 is a wasteful number, since it uses less digits than its factorization.

2101608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2101608 is about 1449.6923811623. The cubic root of 2101608 is about 128.0905934185.

The spelling of 2101608 in words is "two million, one hundred one thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 101 102 136 153 202 204 289 303 306 404 408 578 606 612 808 867 909 1156 1212 1224 1717 1734 1818 2312 2424 2601 3434 3468 3636 5151 5202 6868 6936 7272 10302 10404 13736 15453 20604 20808 29189 30906 41208 58378 61812 87567 116756 123624 175134 233512 262701 350268 525402 700536 1050804 2101608