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2601440 = 25571229
BaseRepresentation
bin1001111011000111100000
311220011111122
421323013200
51131221230
6131431412
731053242
oct11730740
94804448
102601440
111517556
12a55568
1370111a
144ba092
15365be5
hex27b1e0

2601440 has 48 divisors (see below), whose sum is σ = 6259680. Its totient is φ = 1021440.

The previous prime is 2601439. The next prime is 2601451. The reversal of 2601440 is 441062.

2601440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 3.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 11246 + ... + 11474.

It is an arithmetic number, because the mean of its divisors is an integer number (130410).

22601440 is an apocalyptic number.

2601440 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 2601440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129840).

2601440 is an abundant number, since it is smaller than the sum of its proper divisors (3658240).

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

2601440 is a wasteful number, since it uses less digits than its factorization.

2601440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2601440 is about 1612.8980128948. The cubic root of 2601440 is about 137.5322679090.

The spelling of 2601440 in words is "two million, six hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 229 284 355 458 568 710 916 1136 1145 1420 1832 2272 2290 2840 3664 4580 5680 7328 9160 11360 16259 18320 32518 36640 65036 81295 130072 162590 260144 325180 520288 650360 1300720 2601440