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2813076 = 22337612
BaseRepresentation
bin1010101110110010010100
312021220211000
422232302110
51210004301
6140143300
732624250
oct12566224
95256730
102813076
111651562
12b37b30
13776556
14533260
153a8786
hex2aec94

2813076 has 72 divisors (see below), whose sum is σ = 8473920. Its totient is φ = 790560.

The previous prime is 2813071. The next prime is 2813077. The reversal of 2813076 is 6703182.

2813076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2813071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46086 + ... + 46146.

22813076 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 2813076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236960).

2813076 is an abundant number, since it is smaller than the sum of its proper divisors (5660844).

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

2813076 is a wasteful number, since it uses less digits than its factorization.

2813076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2813076 is about 1677.2227043538. Note that the first 3 decimals coincide. The cubic root of 2813076 is about 141.1650398833.

The spelling of 2813076 in words is "two million, eight hundred thirteen thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 61 63 84 108 122 126 183 189 244 252 366 378 427 549 732 756 854 1098 1281 1647 1708 2196 2562 3294 3721 3843 5124 6588 7442 7686 11163 11529 14884 15372 22326 23058 26047 33489 44652 46116 52094 66978 78141 100467 104188 133956 156282 200934 234423 312564 401868 468846 703269 937692 1406538 2813076