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1668522240 = 28345711219
BaseRepresentation
bin110001101110011…
…1010000100000000
311022021121201020000
41203130322010000
511404120202430
6433322120000
756230130220
oct14334720400
94267551200
101668522240
11786923500
123a6950000
132078a7a88
1411b850080
159b736e60
hex6373a100

1668522240 has 1080 divisors, whose sum is σ = 7894582080. Its totient is φ = 328458240.

The previous prime is 1668522211. The next prime is 1668522253. The reversal of 1668522240 is 422258661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1668522195 and 1668522204.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 87816951 + ... + 87816969.

Almost surely, 21668522240 is an apocalyptic number.

1668522240 is a gapful number since it is divisible by the number (10) 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 1668522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947291040).

1668522240 is an abundant number, since it is smaller than the sum of its proper divisors (6226059840).

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

1668522240 is a wasteful number, since it uses less digits than its factorization.

1668522240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1668522240 is about 40847.5487636651. The cubic root of 1668522240 is about 1186.0709433963.

The spelling of 1668522240 in words is "one billion, six hundred sixty-eight million, five hundred twenty-two thousand, two hundred forty".