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2832690 = 235724147
BaseRepresentation
bin1010110011100100110010
312022220201110
422303210302
51211121230
6140414150
733035400
oct12634462
95286643
102832690
111665273
12b47356
13782463
1453a470
153ae4b0
hex2b3932

2832690 has 96 divisors (see below), whose sum is σ = 8273664. Its totient is φ = 618240.

The previous prime is 2832679. The next prime is 2832701. The reversal of 2832690 is 962382.

2832690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2832679) and next prime (2832701).

It is a super-2 number, since 2×28326902 = 16048265272200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 60247 + ... + 60293.

It is an arithmetic number, because the mean of its divisors is an integer number (86184).

22832690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2832690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136832).

2832690 is an abundant number, since it is smaller than the sum of its proper divisors (5440974).

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

2832690 is a wasteful number, since it uses less digits than its factorization.

2832690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2832690 is about 1683.0597137357. The cubic root of 2832690 is about 141.4923684947.

The spelling of 2832690 in words is "two million, eight hundred thirty-two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 47 49 70 82 94 98 105 123 141 147 205 210 235 245 246 282 287 294 329 410 470 490 574 615 658 705 735 861 987 1230 1410 1435 1470 1645 1722 1927 1974 2009 2303 2870 3290 3854 4018 4305 4606 4935 5781 6027 6909 8610 9635 9870 10045 11515 11562 12054 13489 13818 19270 20090 23030 26978 28905 30135 34545 40467 57810 60270 67445 69090 80934 94423 134890 188846 202335 283269 404670 472115 566538 944230 1416345 2832690