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2802114 = 23472353
BaseRepresentation
bin1010101100000111000010
312021100210000
422230013002
51204131424
6140020430
732550300
oct12540702
95240700
102802114
1116442a7
12b31716
13771573
1452d270
153a53c9
hex2ac1c2

2802114 has 60 divisors (see below), whose sum is σ = 7324614. Its totient is φ = 798336.

The previous prime is 2802109. The next prime is 2802131. The reversal of 2802114 is 4112082.

It can be written as a sum of positive squares in only one way, i.e., 2480625 + 321489 = 1575^2 + 567^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7762 + ... + 8114.

22802114 is an apocalyptic number.

2802114 is the 1059-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2802114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662307).

2802114 is an abundant number, since it is smaller than the sum of its proper divisors (4522500).

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

2802114 is a wasteful number, since it uses less digits than its factorization.

2802114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2802114 is about 1673.9516122039. The cubic root of 2802114 is about 140.9814371217.

Adding to 2802114 its reverse (4112082), we get a palindrome (6914196).

It can be divided in two parts, 2802 and 114, that added together give a square (2916 = 542).

The spelling of 2802114 in words is "two million, eight hundred two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 353 378 441 567 706 882 1059 1134 1323 2118 2471 2646 3177 3969 4942 6354 7413 7938 9531 14826 17297 19062 22239 28593 34594 44478 51891 57186 66717 103782 133434 155673 200151 311346 400302 467019 934038 1401057 2802114