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2680400 = 24526701
BaseRepresentation
bin1010001110011001010000
312001011211002
422032121100
51141233100
6133241132
731532402
oct12163120
95034732
102680400
111570908
12a931a8
1372b048
144dab72
1537e2d5
hex28e650

2680400 has 30 divisors (see below), whose sum is σ = 6440622. Its totient is φ = 1072000.

The previous prime is 2680399. The next prime is 2680409. The reversal of 2680400 is 40862.

It can be written as a sum of positive squares in 3 ways, for example, as 107584 + 2572816 = 328^2 + 1604^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2680409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2951 + ... + 3750.

22680400 is an apocalyptic number.

2680400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2680400 is an abundant number, since it is smaller than the sum of its proper divisors (3760222).

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

2680400 is a wasteful number, since it uses less digits than its factorization.

2680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6719 (or 6708 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2680400 is about 1637.1927192606. The cubic root of 2680400 is about 138.9099014134.

The spelling of 2680400 in words is "two million, six hundred eighty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 6701 13402 26804 33505 53608 67010 107216 134020 167525 268040 335050 536080 670100 1340200 2680400