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1468469520 = 2433571729197
BaseRepresentation
bin101011110000111…
…0001000100010000
310210100011222111000
41113201301010100
511001412011040
6401414222000
751250533150
oct12741610420
93710158430
101468469520
11693a04981
1234b954900
131a530279b
14dd056760
1588dbc130
hex57871110

1468469520 has 640 divisors, whose sum is σ = 6363878400. Its totient is φ = 303464448.

The previous prime is 1468469507. The next prime is 1468469539. The reversal of 1468469520 is 259648641.

1468469520 is a `hidden beast` number, since 1 + 4 + 68 + 4 + 69 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7454062 + ... + 7454258.

It is an arithmetic number, because the mean of its divisors is an integer number (9943560).

Almost surely, 21468469520 is an apocalyptic number.

1468469520 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 1468469520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181939200).

1468469520 is an abundant number, since it is smaller than the sum of its proper divisors (4895408880).

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

1468469520 is a wasteful number, since it uses less digits than its factorization.

1468469520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1468469520 is about 38320.6148176148. The cubic root of 1468469520 is about 1136.6366240869.

The spelling of 1468469520 in words is "one billion, four hundred sixty-eight million, four hundred sixty-nine thousand, five hundred twenty".