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5701800060 = 22335111922659
BaseRepresentation
bin1010100111101101…
…01001000001111100
3112201100221110021000
411103312221001330
543134130100220
62341441210300
7261203333535
oct52366510174
915640843230
105701800060
112466576860
121131630990
136cb37b3b8
143c138768c
15235882390
hex153da907c

5701800060 has 288 divisors, whose sum is σ = 20431353600. Its totient is φ = 1309011840.

The previous prime is 5701800059. The next prime is 5701800131. The reversal of 5701800060 is 600081075.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5701799997 and 5701800033.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2143011 + ... + 2145669.

It is an arithmetic number, because the mean of its divisors is an integer number (70942200).

Almost surely, 25701800060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5701800060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10215676800).

5701800060 is an abundant number, since it is smaller than the sum of its proper divisors (14729553540).

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

5701800060 is a wasteful number, since it uses less digits than its factorization.

5701800060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 5701800060 is about 75510.2646002515. The cubic root of 5701800060 is about 1786.5040074469.

The spelling of 5701800060 in words is "five billion, seven hundred one million, eight hundred thousand, sixty".