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2640066 = 23111317181
BaseRepresentation
bin1010000100100011000010
311222010111020
422010203002
51133440231
6132330310
731303662
oct12044302
94863436
102640066
111543580
12a73996
13715890
144ca1a2
15372396
hex2848c2

2640066 has 64 divisors (see below), whose sum is σ = 6604416. Its totient is φ = 691200.

The previous prime is 2640059. The next prime is 2640067. The reversal of 2640066 is 6600462.

It is not an unprimeable number, because it can be changed into a prime (2640067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14496 + ... + 14676.

It is an arithmetic number, because the mean of its divisors is an integer number (103194).

22640066 is an apocalyptic number.

2640066 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2640066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208).

2640066 is an abundant number, since it is smaller than the sum of its proper divisors (3964350).

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

2640066 is a wasteful number, since it uses less digits than its factorization.

2640066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2640066 is about 1624.8279908963. The cubic root of 2640066 is about 138.2096163278.

It can be divided in two parts, 26400 and 66, that multiplied together give a square (1742400 = 13202).

The spelling of 2640066 in words is "two million, six hundred forty thousand, sixty-six".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 78 102 143 181 187 221 286 362 374 429 442 543 561 663 858 1086 1122 1326 1991 2353 2431 3077 3982 4706 4862 5973 6154 7059 7293 9231 11946 14118 14586 18462 25883 33847 40001 51766 67694 77649 80002 101541 120003 155298 203082 240006 440011 880022 1320033 2640066