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2640064 = 2677183
BaseRepresentation
bin1010000100100011000000
311222010111011
422010203000
51133440224
6132330304
731303660
oct12044300
94863434
102640064
111543579
12a73994
1371588b
144ca1a0
15372394
hex2848c0

2640064 has 56 divisors (see below), whose sum is σ = 6144768. Its totient is φ = 1102080.

The previous prime is 2640059. The next prime is 2640067. The reversal of 2640064 is 4600462.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31767 + ... + 31849.

It is an arithmetic number, because the mean of its divisors is an integer number (109728).

22640064 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 2640064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072384).

2640064 is an abundant number, since it is smaller than the sum of its proper divisors (3504704).

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

2640064 is an equidigital number, since it uses as much as digits as its factorization.

2640064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2640064 is about 1624.8273754464. The cubic root of 2640064 is about 138.2095814273.

The spelling of 2640064 in words is "two million, six hundred forty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 83 112 142 166 224 284 332 448 497 568 581 664 994 1136 1162 1328 1988 2272 2324 2656 3976 4544 4648 5312 5893 7952 9296 11786 15904 18592 23572 31808 37184 41251 47144 82502 94288 165004 188576 330008 377152 660016 1320032 2640064