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241360 = 2457431
BaseRepresentation
bin111010111011010000
3110021002021
4322323100
530210420
65101224
72023450
oct727320
9407067
10241360
11155379
12b7814
1385b22
1463d60
154b7aa
hex3aed0

241360 has 40 divisors (see below), whose sum is σ = 642816. Its totient is φ = 82560.

The previous prime is 241343. The next prime is 241361. The reversal of 241360 is 63142.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 345 + ... + 775.

2241360 is an apocalyptic number.

241360 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 241360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321408).

241360 is an abundant number, since it is smaller than the sum of its proper divisors (401456).

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

241360 is a wasteful number, since it uses less digits than its factorization.

241360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 241360 is about 491.2840319001. The cubic root of 241360 is about 62.2618134276.

It can be divided in two parts, 24 and 1360, that multiplied together give a triangular number (32640 = T255).

The spelling of 241360 in words is "two hundred forty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 431 560 862 1724 2155 3017 3448 4310 6034 6896 8620 12068 15085 17240 24136 30170 34480 48272 60340 120680 241360