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1083278016 = 26334361239
BaseRepresentation
bin100000010010001…
…1000001011000000
32210111101020002000
41000210120023000
54204304344031
6255254224000
735562465642
oct10044301300
92714336060
101083278016
11506533897
12262955000
13143577612
14a3c28892
15651813e6
hex409182c0

1083278016 has 224 divisors, whose sum is σ = 3325977600. Its totient is φ = 345461760.

The previous prime is 1083278011. The next prime is 1083278017. The reversal of 1083278016 is 6108723801.

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

It is not an unprimeable number, because it can be changed into a prime (1083278011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4532425 + ... + 4532663.

Almost surely, 21083278016 is an apocalyptic number.

1083278016 is a gapful number since it is divisible by the number (16) 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 1083278016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662988800).

1083278016 is an abundant number, since it is smaller than the sum of its proper divisors (2242699584).

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

1083278016 is a wasteful number, since it uses less digits than its factorization.

1083278016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1083278016 is about 32913.1890888744. The cubic root of 1083278016 is about 1027.0225433687.

The spelling of 1083278016 in words is "one billion, eighty-three million, two hundred seventy-eight thousand, sixteen".