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2585340 = 2232553271
BaseRepresentation
bin1001110111001011111100
311212100102100
421313023330
51130212330
6131225100
730655302
oct11671374
94770370
102585340
11150644a
12a48190
136c69b4
144b4272
15361060
hex2772fc

2585340 has 72 divisors (see below), whose sum is σ = 8019648. Its totient is φ = 673920.

The previous prime is 2585333. The next prime is 2585347. The reversal of 2585340 is 435852.

It is an interprime number because it is at equal distance from previous prime (2585333) and next prime (2585347).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9405 + ... + 9675.

It is an arithmetic number, because the mean of its divisors is an integer number (111384).

22585340 is an apocalyptic number.

2585340 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 2585340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009824).

2585340 is an abundant number, since it is smaller than the sum of its proper divisors (5434308).

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

2585340 is a wasteful number, since it uses less digits than its factorization.

2585340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2585340 is about 1607.8992505751. The cubic root of 2585340 is about 137.2479570102.

The spelling of 2585340 in words is "two million, five hundred eighty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 271 318 477 530 542 636 795 813 954 1060 1084 1355 1590 1626 1908 2385 2439 2710 3180 3252 4065 4770 4878 5420 8130 9540 9756 12195 14363 16260 24390 28726 43089 48780 57452 71815 86178 129267 143630 172356 215445 258534 287260 430890 517068 646335 861780 1292670 2585340