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20231524240 = 245627740289
BaseRepresentation
bin10010110101111001…
…001000111110010000
31221012222011220210121
4102311321020332100
5312413232233430
613143315440024
71314233055454
oct226571107620
957188156717
1020231524240
118642193674
123b075b6014
131ba564b925
14d9cd52664
157d6250a7a
hex4b5e48f90

20231524240 has 40 divisors (see below), whose sum is σ = 47046955320. Its totient is φ = 8091119616.

The previous prime is 20231524207. The next prime is 20231524253. The reversal of 20231524240 is 4242513202.

It can be written as a sum of positive squares in 4 ways, for example, as 13319929744 + 6911594496 = 115412^2 + 83136^2 .

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 (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 482016 + ... + 522304.

It is an arithmetic number, because the mean of its divisors is an integer number (1176173883).

Almost surely, 220231524240 is an apocalyptic number.

20231524240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20231524240 is an abundant number, since it is smaller than the sum of its proper divisors (26815431080).

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

20231524240 is a wasteful number, since it uses less digits than its factorization.

20231524240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46579 (or 46573 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The spelling of 20231524240 in words is "twenty billion, two hundred thirty-one million, five hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 6277 12554 25108 31385 40289 50216 62770 80578 100432 125540 161156 201445 251080 322312 402890 502160 644624 805780 1611560 3223120 252894053 505788106 1011576212 1264470265 2023152424 2528940530 4046304848 5057881060 10115762120 20231524240