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1480405320 = 233254112237
BaseRepresentation
bin101100000111101…
…0011000101001000
310211011122101022200
41120033103011020
511012440432240
6402522120200
751454144332
oct13017230510
93734571280
101480405320
1169a717479
12353950060
131a79214a4
14100882452
1589e78930
hex583d3148

1480405320 has 48 divisors (see below), whose sum is σ = 4811318460. Its totient is φ = 394774656.

The previous prime is 1480405319. The next prime is 1480405321. The reversal of 1480405320 is 235040841.

1480405320 is a `hidden beast` number, since 14 + 80 + 40 + 532 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1480405319) and next prime (1480405321).

It can be written as a sum of positive squares in 2 ways, for example, as 1478710116 + 1695204 = 38454^2 + 1302^2 .

It is a super-3 number, since 3×14804053203 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1480405321) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2055759 + ... + 2056478.

Almost surely, 21480405320 is an apocalyptic number.

1480405320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1480405320 is an abundant number, since it is smaller than the sum of its proper divisors (3330913140).

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

1480405320 is a wasteful number, since it uses less digits than its factorization.

1480405320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112254 (or 4112247 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1480405320 is about 38476.0356585758. The cubic root of 1480405320 is about 1139.7078660497.

The spelling of 1480405320 in words is "one billion, four hundred eighty million, four hundred five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 4112237 8224474 12336711 16448948 20561185 24673422 32897896 37010133 41122370 49346844 61683555 74020266 82244740 98693688 123367110 148040532 164489480 185050665 246734220 296081064 370101330 493468440 740202660 1480405320