Search a number
-
+
2165140 = 225293733
BaseRepresentation
bin1000010000100110010100
311002000000101
420100212110
51023241030
6114223444
724255235
oct10204624
94060011
102165140
11124977a
12884b84
135aa663
1440508c
152cb7ca
hex210994

2165140 has 24 divisors (see below), whose sum is σ = 4704840. Its totient is φ = 835968.

The previous prime is 2165131. The next prime is 2165143. The reversal of 2165140 is 415612.

It can be written as a sum of positive squares in 4 ways, for example, as 266256 + 1898884 = 516^2 + 1378^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2165143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1287 + ... + 2446.

It is an arithmetic number, because the mean of its divisors is an integer number (196035).

22165140 is an apocalyptic number.

2165140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2165140 is an abundant number, since it is smaller than the sum of its proper divisors (2539700).

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

2165140 is a wasteful number, since it uses less digits than its factorization.

2165140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771 (or 3769 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 2165140 is about 1471.4414701238. The cubic root of 2165140 is about 129.3685353099.

It can be divided in two parts, 216 and 5140, that added together give a triangular number (5356 = T103).

The spelling of 2165140 in words is "two million, one hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 3733 7466 14932 18665 37330 74660 108257 216514 433028 541285 1082570 2165140