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2052040 = 23529261
BaseRepresentation
bin111110100111111001000
310212020212111
413310333020
51011131130
6111552104
723304424
oct7647710
93766774
102052040
111181801
1282b634
1356b033
143b5b84
152a802a
hex1f4fc8

2052040 has 48 divisors (see below), whose sum is σ = 4860180. Its totient is φ = 779520.

The previous prime is 2052023. The next prime is 2052041. The reversal of 2052040 is 402502.

2052040 = T119 + T120 + ... + T240.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 367236 + 1684804 = 606^2 + 1298^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2052040.

It is not an unprimeable number, because it can be changed into a prime (2052041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33610 + ... + 33670.

22052040 is an apocalyptic number.

2052040 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 2052040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430090).

2052040 is an abundant number, since it is smaller than the sum of its proper divisors (2808140).

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

2052040 is a wasteful number, since it uses less digits than its factorization.

2052040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 2052040 is about 1432.4943280865. The cubic root of 2052040 is about 127.0755332189.

Adding to 2052040 its reverse (402502), we get a palindrome (2454542).

The spelling of 2052040 in words is "two million, fifty-two thousand, forty", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 20 29 40 58 61 116 122 145 232 244 290 305 488 580 610 841 1160 1220 1682 1769 2440 3364 3538 4205 6728 7076 8410 8845 14152 16820 17690 33640 35380 51301 70760 102602 205204 256505 410408 513010 1026020 2052040