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2052320 = 255101127
BaseRepresentation
bin111110101000011100000
310212021020212
413311003200
51011133240
6111553252
723305304
oct7650340
93767225
102052320
111181a36
1282b828
1356b1ba
143b5d04
152a8165
hex1f50e0

2052320 has 48 divisors (see below), whose sum is σ = 4935168. Its totient is φ = 806400.

The previous prime is 2052317. The next prime is 2052329. The reversal of 2052320 is 232502.

It is a junction number, because it is equal to n+sod(n) for n = 2052295 and 2052304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16097 + ... + 16223.

It is an arithmetic number, because the mean of its divisors is an integer number (102816).

22052320 is an apocalyptic number.

2052320 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 2052320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467584).

2052320 is an abundant number, since it is smaller than the sum of its proper divisors (2882848).

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

2052320 is a wasteful number, since it uses less digits than its factorization.

2052320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 2052320 is about 1432.5920563789. The cubic root of 2052320 is about 127.0813127571.

Adding to 2052320 its reverse (232502), we get a palindrome (2284822).

The spelling of 2052320 in words is "two million, fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 127 160 202 254 404 505 508 635 808 1010 1016 1270 1616 2020 2032 2540 3232 4040 4064 5080 8080 10160 12827 16160 20320 25654 51308 64135 102616 128270 205232 256540 410464 513080 1026160 2052320