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2064120 = 2335103167
BaseRepresentation
bin111110111111011111000
310212212102220
413313323320
51012022440
6112124040
723354562
oct7677370
93785386
102064120
11118a893
12836620
13573696
143ba332
152ab8d0
hex1f7ef8

2064120 has 64 divisors (see below), whose sum is σ = 6289920. Its totient is φ = 541824.

The previous prime is 2064113. The next prime is 2064121. The reversal of 2064120 is 214602.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2064120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12277 + ... + 12443.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

22064120 is an apocalyptic number.

2064120 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 2064120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144960).

2064120 is an abundant number, since it is smaller than the sum of its proper divisors (4225800).

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

2064120 is a wasteful number, since it uses less digits than its factorization.

2064120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2064120 is about 1436.7045625319. The cubic root of 2064120 is about 127.3244026399.

Adding to 2064120 its reverse (214602), we get a palindrome (2278722).

The spelling of 2064120 in words is "two million, sixty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 167 206 309 334 412 501 515 618 668 824 835 1002 1030 1236 1336 1545 1670 2004 2060 2472 2505 3090 3340 4008 4120 5010 6180 6680 10020 12360 17201 20040 34402 51603 68804 86005 103206 137608 172010 206412 258015 344020 412824 516030 688040 1032060 2064120