Search a number
-
+
2101770 = 2325112193
BaseRepresentation
bin1000000001001000001010
310221210002100
420001020022
51014224040
6113014230
723602416
oct10011012
93853070
102101770
111206100
12854376
13587868
143c9d46
152b7b30
hex20120a

2101770 has 72 divisors (see below), whose sum is σ = 6037668. Its totient is φ = 506880.

The previous prime is 2101751. The next prime is 2101789. The reversal of 2101770 is 771012.

It is an interprime number because it is at equal distance from previous prime (2101751) and next prime (2101789).

It can be written as a sum of positive squares in 2 ways, for example, as 2013561 + 88209 = 1419^2 + 297^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10794 + ... + 10986.

22101770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018834).

2101770 is an abundant number, since it is smaller than the sum of its proper divisors (3935898).

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

2101770 is a wasteful number, since it uses less digits than its factorization.

2101770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 2101770 is about 1449.7482540083. The cubic root of 2101770 is about 128.0938845719.

Adding to 2101770 its reverse (771012), we get a palindrome (2872782).

The spelling of 2101770 in words is "two million, one hundred one thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 193 198 242 330 363 386 495 579 605 726 965 990 1089 1158 1210 1737 1815 1930 2123 2178 2895 3474 3630 4246 5445 5790 6369 8685 10615 10890 12738 17370 19107 21230 23353 31845 38214 46706 63690 70059 95535 116765 140118 191070 210177 233530 350295 420354 700590 1050885 2101770