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424040240 = 245132811451
BaseRepresentation
bin11001010001100…
…101011100110000
31002112220110212002
4121101211130300
51332023241430
6110024353132
713336165631
oct3121453460
91075813762
10424040240
111a83a5788
12ba0157a8
1369b0a9b0
1440461888
1527361845
hex19465730

424040240 has 80 divisors (see below), whose sum is σ = 1066244256. Its totient is φ = 155904000.

The previous prime is 424040237. The next prime is 424040249. The reversal of 424040240 is 42040424.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (424040249) 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 15 ways as a sum of consecutive naturals, for example, 291515 + ... + 292965.

Almost surely, 2424040240 is an apocalyptic number.

424040240 is a gapful number since it is divisible by the number (40) 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 424040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533122128).

424040240 is an abundant number, since it is smaller than the sum of its proper divisors (642204016).

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

424040240 is a wasteful number, since it uses less digits than its factorization.

424040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 424040240 is about 20592.2373723692. The cubic root of 424040240 is about 751.2809162777.

Adding to 424040240 its reverse (42040424), we get a palindrome (466080664).

The spelling of 424040240 in words is "four hundred twenty-four million, forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 281 520 562 1040 1124 1405 1451 2248 2810 2902 3653 4496 5620 5804 7255 7306 11240 11608 14510 14612 18265 18863 22480 23216 29020 29224 36530 37726 58040 58448 73060 75452 94315 116080 146120 150904 188630 292240 301808 377260 407731 754520 815462 1509040 1630924 2038655 3261848 4077310 5300503 6523696 8154620 10601006 16309240 21202012 26502515 32618480 42404024 53005030 84808048 106010060 212020120 424040240