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2680002 = 232132881
BaseRepresentation
bin1010001110010011000010
312001011021100
422032103002
51141230002
6133235230
731531263
oct12162302
95034240
102680002
111570586
12a92b16
1372ab00
144da96a
1537e11c
hex28e4c2

2680002 has 36 divisors (see below), whose sum is σ = 6294834. Its totient is φ = 823680.

The previous prime is 2679979. The next prime is 2680003. The reversal of 2680002 is 2000862.

It can be written as a sum of positive squares in 3 ways, for example, as 881721 + 1798281 = 939^2 + 1341^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2680003) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2602 + ... + 3482.

22680002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2680002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147417).

2680002 is an abundant number, since it is smaller than the sum of its proper divisors (3614832).

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

2680002 is a wasteful number, since it uses less digits than its factorization.

2680002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2680002 is about 1637.0711652216. The cubic root of 2680002 is about 138.9030257136.

Adding to 2680002 its reverse (2000862), we get a palindrome (4680864).

The spelling of 2680002 in words is "two million, six hundred eighty thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 881 1014 1521 1762 2643 3042 5286 7929 11453 15858 22906 34359 68718 103077 148889 206154 297778 446667 893334 1340001 2680002