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2682064 = 247211311
BaseRepresentation
bin1010001110110011010000
312001021002201
422032303100
51141311224
6133252544
731540300
oct12166320
95037081
102682064
111572090
12a94154
1372ba28
144db600
1537ea44
hex28ecd0

2682064 has 60 divisors (see below), whose sum is σ = 6615648. Its totient is φ = 1041600.

The previous prime is 2682061. The next prime is 2682067. The reversal of 2682064 is 4602862.

It is an interprime number because it is at equal distance from previous prime (2682061) and next prime (2682067).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2682061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8469 + ... + 8779.

22682064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2682064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307824).

2682064 is an abundant number, since it is smaller than the sum of its proper divisors (3933584).

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

2682064 is a wasteful number, since it uses less digits than its factorization.

2682064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2682064 is about 1637.7008273797. The cubic root of 2682064 is about 138.9386406887.

It can be divided in two parts, 268 and 2064, that added together give a palindrome (2332).

The spelling of 2682064 in words is "two million, six hundred eighty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 311 392 539 616 622 784 1078 1232 1244 2156 2177 2488 3421 4312 4354 4976 6842 8624 8708 13684 15239 17416 23947 27368 30478 34832 47894 54736 60956 95788 121912 167629 191576 243824 335258 383152 670516 1341032 2682064