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1090028016 = 24357112331
BaseRepresentation
bin100000011111000…
…1000000111110000
32210222002011100000
41000332020013300
54213021344031
6300055030000
736004041150
oct10076100760
92728064300
101090028016
1150a324200
1226506b300
13144a9babc
14a4aa4760
1565a663e6
hex40f881f0

1090028016 has 360 divisors, whose sum is σ = 3986050432. Its totient is φ = 282268800.

The previous prime is 1090028011. The next prime is 1090028039. The reversal of 1090028016 is 6108200901.

It is a super-2 number, since 2×10900280162 = 2376322151329792512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1090028011) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3292971 + ... + 3293301.

Almost surely, 21090028016 is an apocalyptic number.

1090028016 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 1090028016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993025216).

1090028016 is an abundant number, since it is smaller than the sum of its proper divisors (2896022416).

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

1090028016 is a wasteful number, since it uses less digits than its factorization.

1090028016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1090028016 is about 33015.5723257980. The cubic root of 1090028016 is about 1029.1512837606.

Adding to 1090028016 its reverse (6108200901), we get a palindrome (7198228917).

The spelling of 1090028016 in words is "one billion, ninety million, twenty-eight thousand, sixteen".