Search a number
-
+
240560 = 2453197
BaseRepresentation
bin111010101110110000
3110012222122
4322232300
530144220
65053412
72021225
oct725660
9405878
10240560
11154811
12b7268
1385658
146394c
154b425
hex3abb0

240560 has 40 divisors (see below), whose sum is σ = 583296. Its totient is φ = 92160.

The previous prime is 240551. The next prime is 240571. The reversal of 240560 is 65042.

240560 is nontrivially palindromic in base 13.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2405602 = 115738227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2432 + ... + 2528.

2240560 is an apocalyptic number.

240560 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 240560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291648).

240560 is an abundant number, since it is smaller than the sum of its proper divisors (342736).

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

240560 is a wasteful number, since it uses less digits than its factorization.

240560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 240560 is about 490.4691631489. The cubic root of 240560 is about 62.1929473019.

The spelling of 240560 in words is "two hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 97 124 155 194 248 310 388 485 496 620 776 970 1240 1552 1940 2480 3007 3880 6014 7760 12028 15035 24056 30070 48112 60140 120280 240560