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241604240 = 24513921727
BaseRepresentation
bin11100110011010…
…01011010010000
3121211121202201012
432121221122100
5443322313430
635550230052
75662413353
oct1631513220
9554552635
10241604240
11114419929
1268ab5328
133b0930b7
142413229a
1516326695
hexe669690

241604240 has 40 divisors (see below), whose sum is σ = 565797120. Its totient is φ = 95942016.

The previous prime is 241604239. The next prime is 241604257. The reversal of 241604240 is 42406142.

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

It is an unprimeable number.

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, 257 + ... + 21983.

It is an arithmetic number, because the mean of its divisors is an integer number (14144928).

Almost surely, 2241604240 is an apocalyptic number.

241604240 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 241604240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282898560).

241604240 is an abundant number, since it is smaller than the sum of its proper divisors (324192880).

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

241604240 is a wasteful number, since it uses less digits than its factorization.

241604240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21879 (or 21873 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 241604240 is about 15543.6237731103. The cubic root of 241604240 is about 622.8280792928.

The spelling of 241604240 in words is "two hundred forty-one million, six hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 695 1112 1390 2224 2780 5560 11120 21727 43454 86908 108635 173816 217270 347632 434540 869080 1738160 3020053 6040106 12080212 15100265 24160424 30200530 48320848 60401060 120802120 241604240