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1483682640 = 2435112192689
BaseRepresentation
bin101100001101111…
…0011001101010000
310211101210212221220
41120123303031100
511014310321030
6403120245040
751524044236
oct13033631520
93741725856
101483682640
116a1555800
12354a70780
131a84cb12b
14101096956
158a3c4a10
hex586f3350

1483682640 has 240 divisors, whose sum is σ = 5323617600. Its totient is φ = 340623360.

The previous prime is 1483682591. The next prime is 1483682653. The reversal of 1483682640 is 462863841.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 1483682592 and 1483682601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550416 + ... + 553104.

It is an arithmetic number, because the mean of its divisors is an integer number (22181740).

Almost surely, 21483682640 is an apocalyptic number.

1483682640 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 1483682640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661808800).

1483682640 is an abundant number, since it is smaller than the sum of its proper divisors (3839934960).

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

1483682640 is a wasteful number, since it uses less digits than its factorization.

1483682640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 1483682640 is about 38518.6012207089. The cubic root of 1483682640 is about 1140.5482742811.

The spelling of 1483682640 in words is "one billion, four hundred eighty-three million, six hundred eighty-two thousand, six hundred forty".