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2640036 = 223753593
BaseRepresentation
bin1010000100100010100100
311222010110010
422010202210
51133440121
6132330220
731303620
oct12044244
94863403
102640036
111543553
12a73970
13715869
144ca180
15372376
hex2848a4

2640036 has 48 divisors (see below), whose sum is σ = 7185024. Its totient is φ = 738816.

The previous prime is 2640023. The next prime is 2640041. The reversal of 2640036 is 6300462.

2640036 = T865 + T866 + ... + T871.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2639994 and 2640021.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4156 + ... + 4748.

It is an arithmetic number, because the mean of its divisors is an integer number (149688).

22640036 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 2640036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592512).

2640036 is an abundant number, since it is smaller than the sum of its proper divisors (4544988).

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

2640036 is a wasteful number, since it uses less digits than its factorization.

2640036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2640036 is about 1624.8187591236. The cubic root of 2640036 is about 138.2090928177.

Adding to 2640036 its reverse (6300462), we get a palindrome (8940498).

The spelling of 2640036 in words is "two million, six hundred forty thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 593 636 742 1113 1186 1484 1779 2226 2372 3558 4151 4452 7116 8302 12453 16604 24906 31429 49812 62858 94287 125716 188574 220003 377148 440006 660009 880012 1320018 2640036