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2060064 = 253223311
BaseRepresentation
bin111110110111100100000
310212122212200
413312330200
51011410224
6112053200
723340006
oct7667440
93778780
102060064
111187836
12834200
13571896
143b8a76
152aa5c9
hex1f6f20

2060064 has 72 divisors (see below), whose sum is σ = 6132672. Its totient is φ = 654720.

The previous prime is 2060063. The next prime is 2060089. The reversal of 2060064 is 4600602.

2060064 is a `hidden beast` number, since 2 + 0 + 600 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2060063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6469 + ... + 6779.

It is an arithmetic number, because the mean of its divisors is an integer number (85176).

22060064 is an apocalyptic number.

2060064 is a gapful number since it is divisible by the number (24) 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 2060064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066336).

2060064 is an abundant number, since it is smaller than the sum of its proper divisors (4072608).

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

2060064 is a wasteful number, since it uses less digits than its factorization.

2060064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2060064 is about 1435.2923047240. The cubic root of 2060064 is about 127.2409503846.

Adding to 2060064 its reverse (4600602), we get a palindrome (6660666).

The spelling of 2060064 in words is "two million, sixty thousand, sixty-four", and thus it is an eban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 311 368 414 552 622 736 828 933 1104 1244 1656 1866 2208 2488 2799 3312 3732 4976 5598 6624 7153 7464 9952 11196 14306 14928 21459 22392 28612 29856 42918 44784 57224 64377 85836 89568 114448 128754 171672 228896 257508 343344 515016 686688 1030032 2060064