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2776068 = 2232591307
BaseRepresentation
bin1010100101110000000100
312020001001100
422211300010
51202313233
6135300100
732411331
oct12456004
95201040
102776068
111626779
12b1a630
13762759
14523988
1539c813
hex2a5c04

2776068 has 36 divisors (see below), whose sum is σ = 7141680. Its totient is φ = 908976.

The previous prime is 2776063. The next prime is 2776091. The reversal of 2776068 is 8606772.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2776061) 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, 1471 + ... + 2777.

It is an arithmetic number, because the mean of its divisors is an integer number (198380).

22776068 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 2776068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3570840).

2776068 is an abundant number, since it is smaller than the sum of its proper divisors (4365612).

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

2776068 is a wasteful number, since it uses less digits than its factorization.

2776068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2776068 is about 1666.1536543789. The cubic root of 2776068 is about 140.5432633155.

The spelling of 2776068 in words is "two million, seven hundred seventy-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 1307 2124 2614 3921 5228 7842 11763 15684 23526 47052 77113 154226 231339 308452 462678 694017 925356 1388034 2776068