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1081284480 = 273251311433
BaseRepresentation
bin100000001110011…
…0001011110000000
32210100121221110100
41000130301132000
54203302100410
6255143402400
735536523613
oct10034613600
92710557410
101081284480
115053a2041
12262153400
1314302a103
14a386a17a
1564dda8c0
hex40731780

1081284480 has 192 divisors, whose sum is σ = 3764938320. Its totient is φ = 285941760.

The previous prime is 1081284377. The next prime is 1081284499. The reversal of 1081284480 is 844821801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10812844802 = 2338352253377740800, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 753844 + ... + 755276.

Almost surely, 21081284480 is an apocalyptic number.

1081284480 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 1081284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882469160).

1081284480 is an abundant number, since it is smaller than the sum of its proper divisors (2683653840).

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

1081284480 is a wasteful number, since it uses less digits than its factorization.

1081284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1081284480 is about 32882.8903839063. The cubic root of 1081284480 is about 1026.3921531387.

The spelling of 1081284480 in words is "one billion, eighty-one million, two hundred eighty-four thousand, four hundred eighty".