Search a number
-
+
2120121620 = 225316595189
BaseRepresentation
bin111111001011110…
…0111110100010100
312110202101100002222
41332113213310110
513320222342440
6550213321512
7103352510411
oct17627476424
95422340088
102120121620
11998831831
124b2036298
1327a314746
14161807108
15c61de2b5
hex7e5e7d14

2120121620 has 48 divisors (see below), whose sum is σ = 4603737600. Its totient is φ = 819288960.

The previous prime is 2120121607. The next prime is 2120121643. The reversal of 2120121620 is 261210212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405986 + ... + 411174.

It is an arithmetic number, because the mean of its divisors is an integer number (95911200).

Almost surely, 22120121620 is an apocalyptic number.

2120121620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120121620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301868800).

2120121620 is an abundant number, since it is smaller than the sum of its proper divisors (2483615980).

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

2120121620 is a wasteful number, since it uses less digits than its factorization.

2120121620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5888 (or 5886 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2120121620 is about 46044.7784227484. The cubic root of 2120121620 is about 1284.6562227934.

Adding to 2120121620 its reverse (261210212), we get a palindrome (2381331832).

The spelling of 2120121620 in words is "two billion, one hundred twenty million, one hundred twenty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 659 1318 2636 3295 5189 6590 10378 13180 20429 20756 25945 40858 51890 81716 102145 103780 160859 204290 321718 408580 643436 804295 1608590 3217180 3419551 6839102 13678204 17097755 34195510 68391020 106006081 212012162 424024324 530030405 1060060810 2120121620