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2680236 = 2233132383
BaseRepresentation
bin1010001110010110101100
312001011121000
422032112230
51141231421
6133240300
731532046
oct12162654
95034530
102680236
111570779
12a93090
1372ac50
144daa96
1537e226
hex28e5ac

2680236 has 96 divisors (see below), whose sum is σ = 7902720. Its totient is φ = 779328.

The previous prime is 2680231. The next prime is 2680241. The reversal of 2680236 is 6320862.

2680236 = T441 + T442 + ... + T466.

2680236 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 (2680231) and next prime (2680241).

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 (2680231) 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 31 ways as a sum of consecutive naturals, for example, 32251 + ... + 32333.

It is an arithmetic number, because the mean of its divisors is an integer number (82320).

22680236 is an apocalyptic number.

2680236 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2680236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951360).

2680236 is an abundant number, since it is smaller than the sum of its proper divisors (5222484).

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

2680236 is a wasteful number, since it uses less digits than its factorization.

2680236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2680236 is about 1637.1426327599. The cubic root of 2680236 is about 138.9070682930.

It can be divided in two parts, 2680 and 236, that added together give a square (2916 = 542).

The spelling of 2680236 in words is "two million, six hundred eighty thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 27 36 39 46 52 54 69 78 83 92 108 117 138 156 166 207 234 249 276 299 332 351 414 468 498 598 621 702 747 828 897 996 1079 1196 1242 1404 1494 1794 1909 2158 2241 2484 2691 2988 3237 3588 3818 4316 4482 5382 5727 6474 7636 8073 8964 9711 10764 11454 12948 16146 17181 19422 22908 24817 29133 32292 34362 38844 49634 51543 58266 68724 74451 99268 103086 116532 148902 206172 223353 297804 446706 670059 893412 1340118 2680236