Search a number
-
+
2106071220 = 2235113191017
BaseRepresentation
bin111110110001000…
…0001100010110100
312102202221111120210
41331202001202310
513303123234340
6544552225420
7103122211221
oct17542014264
95382844523
102106071220
11990905530
124a939b270
132774353b6
1415d9ca948
15c4d66180
hex7d8818b4

2106071220 has 48 divisors (see below), whose sum is σ = 6433092288. Its totient is φ = 510562560.

The previous prime is 2106071213. The next prime is 2106071221. The reversal of 2106071220 is 221706012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106071221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1594849 + ... + 1596168.

It is an arithmetic number, because the mean of its divisors is an integer number (134022756).

Almost surely, 22106071220 is an apocalyptic number.

2106071220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2106071220 is an abundant number, since it is smaller than the sum of its proper divisors (4327021068).

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

2106071220 is a wasteful number, since it uses less digits than its factorization.

2106071220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3191040 (or 3191038 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 2106071220 is about 45891.9515819495. The cubic root of 2106071220 is about 1281.8120534800.

Adding to 2106071220 its reverse (221706012), we get a palindrome (2327777232).

The spelling of 2106071220 in words is "two billion, one hundred six million, seventy-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 3191017 6382034 9573051 12764068 15955085 19146102 31910170 35101187 38292204 47865255 63820340 70202374 95730510 105303561 140404748 175505935 191461020 210607122 351011870 421214244 526517805 702023740 1053035610 2106071220