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2664420 = 2235112367
BaseRepresentation
bin1010001010011111100100
312000100220020
422022133210
51140230140
6133035140
731434663
oct12123744
95010806
102664420
11155a900
12a85ab0
137239a5
144d4dda
153796d0
hex28a7e4

2664420 has 72 divisors (see below), whose sum is σ = 8222592. Its totient is φ = 644160.

The previous prime is 2664401. The next prime is 2664439. The reversal of 2664420 is 244662.

2664420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2664401) and next prime (2664439).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7077 + ... + 7443.

22664420 is an apocalyptic number.

2664420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2664420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4111296).

2664420 is an abundant number, since it is smaller than the sum of its proper divisors (5558172).

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

2664420 is a wasteful number, since it uses less digits than its factorization.

2664420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2664420 is about 1632.3051185364. The cubic root of 2664420 is about 138.6333001367.

It can be divided in two parts, 26 and 64420, that added together give a palindrome (64446).

The spelling of 2664420 in words is "two million, six hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 367 484 605 660 726 734 1101 1210 1452 1468 1815 1835 2202 2420 3630 3670 4037 4404 5505 7260 7340 8074 11010 12111 16148 20185 22020 24222 40370 44407 48444 60555 80740 88814 121110 133221 177628 222035 242220 266442 444070 532884 666105 888140 1332210 2664420