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2560380 = 2235139307
BaseRepresentation
bin1001110001000101111100
311211002011220
421301011330
51123413010
6130513340
730522444
oct11610574
94732156
102560380
111499719
12a35850
136b8524
144a9124
15358970
hex27117c

2560380 has 48 divisors (see below), whose sum is σ = 7244160. Its totient is φ = 675648.

The previous prime is 2560379. The next prime is 2560399. The reversal of 2560380 is 830652.

2560380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2560380.

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 15 ways as a sum of consecutive naturals, for example, 8187 + ... + 8493.

It is an arithmetic number, because the mean of its divisors is an integer number (150920).

22560380 is an apocalyptic number.

2560380 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 2560380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622080).

2560380 is an abundant number, since it is smaller than the sum of its proper divisors (4683780).

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

2560380 is a wasteful number, since it uses less digits than its factorization.

2560380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2560380 is about 1600.1187455936. The cubic root of 2560380 is about 136.8048440540.

The spelling of 2560380 in words is "two million, five hundred sixty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 307 417 556 614 695 834 921 1228 1390 1535 1668 1842 2085 2780 3070 3684 4170 4605 6140 8340 9210 18420 42673 85346 128019 170692 213365 256038 426730 512076 640095 853460 1280190 2560380