Search a number
-
+
2120292083 = 72132534831
BaseRepresentation
bin111111001100001…
…0001011011110011
312110202200222221102
41332120101123303
513320243321313
6550221115015
7103354120400
oct17630213363
95422628842
102120292083
11998938908
124b20b8a6b
1327a374200
1416184d2a7
15c6224a58
hex7e6116f3

2120292083 has 36 divisors (see below), whose sum is σ = 2721739968. Its totient is φ = 1645600320.

The previous prime is 2120292079. The next prime is 2120292103. The reversal of 2120292083 is 3802920212.

It is not a de Polignac number, because 2120292083 - 22 = 2120292079 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2120292043) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 436478 + ... + 441308.

It is an arithmetic number, because the mean of its divisors is an integer number (75603888).

Almost surely, 22120292083 is an apocalyptic number.

2120292083 is a deficient number, since it is larger than the sum of its proper divisors (601447885).

2120292083 is a wasteful number, since it uses less digits than its factorization.

2120292083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4924 (or 4904 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 2120292083 is about 46046.6294423381. The cubic root of 2120292083 is about 1284.6906517121.

The spelling of 2120292083 in words is "two billion, one hundred twenty million, two hundred ninety-two thousand, eighty-three".

Divisors: 1 7 13 49 53 91 169 371 637 689 1183 2597 4823 4831 8281 8957 33761 33817 62699 62803 236719 256043 438893 439621 816439 1792301 3077347 3328559 5715073 12546107 23299913 40005511 43271267 163099391 302898869 2120292083