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1469307840 = 2635711213139
BaseRepresentation
bin101011110010011…
…1101101111000000
310210101202120102220
41113210331233000
511002120322330
6401444211040
751260624220
oct12744755700
93711676386
101469307840
11694427800
12350099a80
131a5537230
14dd1d4080
1588ed5710
hex5793dbc0

1469307840 has 672 divisors, whose sum is σ = 6356421120. Its totient is φ = 279797760.

The previous prime is 1469307821. The next prime is 1469307871. The reversal of 1469307840 is 487039641.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1469307792 and 1469307801.

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, 10570491 + ... + 10570629.

It is an arithmetic number, because the mean of its divisors is an integer number (9458960).

Almost surely, 21469307840 is an apocalyptic number.

1469307840 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 1469307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178210560).

1469307840 is an abundant number, since it is smaller than the sum of its proper divisors (4887113280).

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

1469307840 is a wasteful number, since it uses less digits than its factorization.

1469307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 1469307840 is about 38331.5514948195. The cubic root of 1469307840 is about 1136.8528773436.

The spelling of 1469307840 in words is "one billion, four hundred sixty-nine million, three hundred seven thousand, eight hundred forty".