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20235527040 = 2735174115121
BaseRepresentation
bin10010110110001000…
…011010001110000000
31221020020201021121110
4102312020122032000
5312420243331130
613143541323320
71314312066441
oct226610321600
957206637543
1020235527040
118644477a73
123b08a06540
131ba6420851
14d9d6b52c8
157d6791ab0
hex4b621a380

20235527040 has 256 divisors, whose sum is σ = 69965259840. Its totient is φ = 4954521600.

The previous prime is 20235527027. The next prime is 20235527071. The reversal of 20235527040 is 4072553202.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20235526989 and 20235527007.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1330680 + ... + 1345800.

Almost surely, 220235527040 is an apocalyptic number.

20235527040 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 20235527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34982629920).

20235527040 is an abundant number, since it is smaller than the sum of its proper divisors (49729732800).

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

20235527040 is a wasteful number, since it uses less digits than its factorization.

20235527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15201 (or 15189 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The spelling of 20235527040 in words is "twenty billion, two hundred thirty-five million, five hundred twenty-seven thousand, forty".