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2605140 = 2232541353
BaseRepresentation
bin1001111100000001010100
311220100120200
421330001110
51131331030
6131500500
731100106
oct11740124
94810520
102605140
11151a30a
12a57730
13702a05
144bb576
15366d60
hex27c054

2605140 has 72 divisors (see below), whose sum is σ = 8117928. Its totient is φ = 675840.

The previous prime is 2605139. The next prime is 2605159. The reversal of 2605140 is 415062.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 144 + 2604996 = 12^2 + 1614^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 7204 + ... + 7556.

It is an arithmetic number, because the mean of its divisors is an integer number (112749).

22605140 is an apocalyptic number.

2605140 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 2605140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4058964).

2605140 is an abundant number, since it is smaller than the sum of its proper divisors (5512788).

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

2605140 is a wasteful number, since it uses less digits than its factorization.

2605140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2605140 is about 1614.0446090490. The cubic root of 2605140 is about 137.5974405735.

The spelling of 2605140 in words is "two million, six hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 353 369 410 492 615 706 738 820 1059 1230 1412 1476 1765 1845 2118 2460 3177 3530 3690 4236 5295 6354 7060 7380 10590 12708 14473 15885 21180 28946 31770 43419 57892 63540 72365 86838 130257 144730 173676 217095 260514 289460 434190 521028 651285 868380 1302570 2605140