Search a number
-
+
241620240 = 24351006751
BaseRepresentation
bin11100110011011…
…01010100010000
3121211122120122210
432121231110100
5443323321430
635550432120
75662511121
oct1631552420
9554576583
10241620240
1111442a954
1268b02640
133b09a474
1424138048
151632b2b0
hexe66d510

241620240 has 40 divisors (see below), whose sum is σ = 749023488. Its totient is φ = 64432000.

The previous prime is 241620233. The next prime is 241620241. The reversal of 241620240 is 42026142.

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

It is not an unprimeable number, because it can be changed into a prime (241620241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 503136 + ... + 503615.

Almost surely, 2241620240 is an apocalyptic number.

241620240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241620240 is an abundant number, since it is smaller than the sum of its proper divisors (507403248).

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

241620240 is a wasteful number, since it uses less digits than its factorization.

241620240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006767 (or 1006761 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 241620240 is about 15544.1384450860. The cubic root of 241620240 is about 622.8418277123.

Adding to 241620240 its reverse (42026142), we get a palindrome (283646382).

It can be divided in two parts, 241620 and 240, that added together give a triangular number (241860 = T695).

The spelling of 241620240 in words is "two hundred forty-one million, six hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1006751 2013502 3020253 4027004 5033755 6040506 8054008 10067510 12081012 15101265 16108016 20135020 24162024 30202530 40270040 48324048 60405060 80540080 120810120 241620240