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2055768 = 2331113599
BaseRepresentation
bin111110101111001011000
310212102222120
413311321120
51011241033
6112021240
723321331
oct7657130
93772876
102055768
111184590
12831820
1356c940
143b7288
152a91b3
hex1f5e58

2055768 has 64 divisors (see below), whose sum is σ = 6048000. Its totient is φ = 574080.

The previous prime is 2055751. The next prime is 2055769. The reversal of 2055768 is 8675502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055769) 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 15 ways as a sum of consecutive naturals, for example, 3133 + ... + 3731.

It is an arithmetic number, because the mean of its divisors is an integer number (94500).

22055768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2055768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024000).

2055768 is an abundant number, since it is smaller than the sum of its proper divisors (3992232).

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

2055768 is a wasteful number, since it uses less digits than its factorization.

2055768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 2055768 is about 1433.7949644213. The cubic root of 2055768 is about 127.1524405879.

The spelling of 2055768 in words is "two million, fifty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 599 858 1144 1198 1716 1797 2396 3432 3594 4792 6589 7188 7787 13178 14376 15574 19767 23361 26356 31148 39534 46722 52712 62296 79068 85657 93444 158136 171314 186888 256971 342628 513942 685256 1027884 2055768