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1426468320 = 25355191931
BaseRepresentation
bin101010100000110…
…0010110111100000
310200102011002200000
41111001202313200
510410133441240
6353314100000
750230531524
oct12501426740
93612132600
101426468320
11672227842
1233987a600
131996b80c4
14d7641d84
1585372430
hex55062de0

1426468320 has 288 divisors, whose sum is σ = 5316554880. Its totient is φ = 360184320.

The previous prime is 1426468297. The next prime is 1426468343. The reversal of 1426468320 is 238646241.

1426468320 is a `hidden beast` number, since 1 + 4 + 2 + 646 + 8 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1426468297) and next prime (1426468343).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 737755 + ... + 739685.

It is an arithmetic number, because the mean of its divisors is an integer number (18460260).

Almost surely, 21426468320 is an apocalyptic number.

1426468320 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 1426468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658277440).

1426468320 is an abundant number, since it is smaller than the sum of its proper divisors (3890086560).

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

1426468320 is a wasteful number, since it uses less digits than its factorization.

1426468320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1426468320 is about 37768.6155425374. The cubic root of 1426468320 is about 1125.6949306417.

The spelling of 1426468320 in words is "one billion, four hundred twenty-six million, four hundred sixty-eight thousand, three hundred twenty".