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4100530560 = 2735717131137
BaseRepresentation
bin1111010001101001…
…0010000110000000
3101120202212112110020
43310122102012000
531344213434220
61514520333440
7203420635410
oct36432220600
911522775406
104100530560
111814708335
12965314280
135046bc859
142ac842640
1518eed2040
hexf4692180

4100530560 has 512 divisors, whose sum is σ = 16053396480. Its totient is φ = 869007360.

The previous prime is 4100530559. The next prime is 4100530561. The reversal of 4100530560 is 650350014.

It is an interprime number because it is at equal distance from previous prime (4100530559) and next prime (4100530561).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4100530560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100530561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29930812 + ... + 29930948.

It is an arithmetic number, because the mean of its divisors is an integer number (31354290).

Almost surely, 24100530560 is an apocalyptic number.

4100530560 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 4100530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8026698240).

4100530560 is an abundant number, since it is smaller than the sum of its proper divisors (11952865920).

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

4100530560 is a wasteful number, since it uses less digits than its factorization.

4100530560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 4100530560 is about 64035.3852178622. The cubic root of 4100530560 is about 1600.5896992992.

Adding to 4100530560 its reverse (650350014), we get a palindrome (4750880574).

The spelling of 4100530560 in words is "four billion, one hundred million, five hundred thirty thousand, five hundred sixty".