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2640960 = 263257131
BaseRepresentation
bin1010000100110001000000
311222011201100
422010301000
51134002320
6132334400
731306410
oct12046100
94864640
102640960
111544213
12a74400
137160ca
144ca640
15372790
hex284c40

2640960 has 168 divisors, whose sum is σ = 10460736. Its totient is φ = 599040.

The previous prime is 2640959. The next prime is 2640973. The reversal of 2640960 is 690462.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20095 + ... + 20225.

22640960 is an apocalyptic number.

2640960 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 2640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230368).

2640960 is an abundant number, since it is smaller than the sum of its proper divisors (7819776).

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

2640960 is a wasteful number, since it uses less digits than its factorization.

2640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2640960 is about 1625.1030736541. The cubic root of 2640960 is about 138.2252151112.

It can be divided in two parts, 2640 and 960, that added together give a square (3600 = 602).

The spelling of 2640960 in words is "two million, six hundred forty thousand, nine hundred sixty".