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2796066 = 233713569
BaseRepresentation
bin1010101010101000100010
312021001111000
422222220202
51203433231
6135532430
732523540
oct12525042
95231430
102796066
11163a7a9
12b2a116
1376b8a0
1452ad90
153a36e6
hex2aaa22

2796066 has 64 divisors (see below), whose sum is σ = 7660800. Its totient is φ = 736128.

The previous prime is 2796043. The next prime is 2796083. The reversal of 2796066 is 6606972.

2796066 = T201 + T202 + ... + T291.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2796066.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4630 + ... + 5198.

It is an arithmetic number, because the mean of its divisors is an integer number (119700).

22796066 is an apocalyptic number.

2796066 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2796066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830400).

2796066 is an abundant number, since it is smaller than the sum of its proper divisors (4864734).

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

2796066 is a wasteful number, since it uses less digits than its factorization.

2796066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2796066 is about 1672.1441325436. The cubic root of 2796066 is about 140.8799340045.

Adding to 2796066 its product of nonzero digits (27216), we get a palindrome (2823282).

The spelling of 2796066 in words is "two million, seven hundred ninety-six thousand, sixty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 569 702 819 1138 1638 1707 2457 3414 3983 4914 5121 7397 7966 10242 11949 14794 15363 22191 23898 30726 35847 44382 51779 66573 71694 103558 107541 133146 155337 199719 215082 310674 399438 466011 932022 1398033 2796066