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1423578240 = 2734573923
BaseRepresentation
bin101010011011010…
…0001010010000000
310200012201021020000
41110312201102000
510403414000430
6353132120000
750164133610
oct12466412200
93605637200
101423578240
11670633447
12338906000
13198c157b6
14d70cca40
1584ea0e60
hex54da1480

1423578240 has 320 divisors, whose sum is σ = 5811600960. Its totient is φ = 325306368.

The previous prime is 1423578239. The next prime is 1423578301. The reversal of 1423578240 is 428753241.

It is a happy number.

1423578240 is a `hidden beast` number, since 1 + 42 + 3 + 578 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 1423578195 and 1423578204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 360919 + ... + 364841.

It is an arithmetic number, because the mean of its divisors is an integer number (18161253).

Almost surely, 21423578240 is an apocalyptic number.

1423578240 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 1423578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905800480).

1423578240 is an abundant number, since it is smaller than the sum of its proper divisors (4388022720).

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

1423578240 is an equidigital number, since it uses as much as digits as its factorization.

1423578240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1423578240 is about 37730.3358055557. The cubic root of 1423578240 is about 1124.9341828162.

The spelling of 1423578240 in words is "one billion, four hundred twenty-three million, five hundred seventy-eight thousand, two hundred forty".