Search a number
-
+
2406560 = 25513289
BaseRepresentation
bin1001001011100010100000
311112021011212
421023202200
51104002220
6123325252
726312132
oct11134240
94467155
102406560
1113a40a2
12980828
13663500
14469052
153280c5
hex24b8a0

2406560 has 72 divisors (see below), whose sum is σ = 6225660. Its totient is φ = 878592.

The previous prime is 2406557. The next prime is 2406583. The reversal of 2406560 is 656042.

It can be written as a sum of positive squares in 6 ways, for example, as 59536 + 2347024 = 244^2 + 1532^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26996 + ... + 27084.

22406560 is an apocalyptic number.

2406560 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 2406560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112830).

2406560 is an abundant number, since it is smaller than the sum of its proper divisors (3819100).

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

2406560 is a wasteful number, since it uses less digits than its factorization.

2406560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2406560 is about 1551.3091245783. The cubic root of 2406560 is about 134.0084646023.

The spelling of 2406560 in words is "two million, four hundred six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 89 104 130 160 169 178 208 260 338 356 416 445 520 676 712 845 890 1040 1157 1352 1424 1690 1780 2080 2314 2704 2848 3380 3560 4628 5408 5785 6760 7120 9256 11570 13520 14240 15041 18512 23140 27040 30082 37024 46280 60164 75205 92560 120328 150410 185120 240656 300820 481312 601640 1203280 2406560