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1450808320 = 21051371307
BaseRepresentation
bin101011001111001…
…1001010000000000
310202002221200212111
41112132121100000
510432401331240
6355543505104
750644444603
oct12636312000
93662850774
101450808320
11684a41845
12345a58194
131a175aa80
14da97a33a
158757e1ea
hex56799400

1450808320 has 176 divisors, whose sum is σ = 3813118848. Its totient is φ = 526417920.

The previous prime is 1450808311. The next prime is 1450808321. The reversal of 1450808320 is 238080541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1450808321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4725607 + ... + 4725913.

It is an arithmetic number, because the mean of its divisors is an integer number (21665448).

Almost surely, 21450808320 is an apocalyptic number.

1450808320 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 1450808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906559424).

1450808320 is an abundant number, since it is smaller than the sum of its proper divisors (2362310528).

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

1450808320 is a wasteful number, since it uses less digits than its factorization.

1450808320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 1450808320 is about 38089.4778121202. The cubic root of 1450808320 is about 1132.0614782628.

Adding to 1450808320 its reverse (238080541), we get a palindrome (1688888861).

The spelling of 1450808320 in words is "one billion, four hundred fifty million, eight hundred eight thousand, three hundred twenty".