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1085450816 = 26171516607
BaseRepresentation
bin100000010110010…
…1010101001000000
32210122110121121002
41000230222221000
54210333411231
6255412551132
735620115432
oct10054525100
92718417532
101085450816
1150778829a
122636224a8
13143b585b8
14a4232652
15654600cb
hex40b2aa40

1085450816 has 56 divisors (see below), whose sum is σ = 2296094976. Its totient is φ = 507340800.

The previous prime is 1085450813. The next prime is 1085450827. The reversal of 1085450816 is 6180545801.

It is a self number, because there is not a number n which added to its sum of digits gives 1085450816.

It is not an unprimeable number, because it can be changed into a prime (1085450813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160985 + ... + 167591.

It is an arithmetic number, because the mean of its divisors is an integer number (41001696).

Almost surely, 21085450816 is an apocalyptic number.

1085450816 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 1085450816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148047488).

1085450816 is an abundant number, since it is smaller than the sum of its proper divisors (1210644160).

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

1085450816 is a wasteful number, since it uses less digits than its factorization.

1085450816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6787 (or 6777 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 38.

The square root of 1085450816 is about 32946.1805980602. The cubic root of 1085450816 is about 1027.7087397239.

The spelling of 1085450816 in words is "one billion, eighty-five million, four hundred fifty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 151 272 302 544 604 1088 1208 2416 2567 4832 5134 6607 9664 10268 13214 20536 26428 41072 52856 82144 105712 112319 164288 211424 224638 422848 449276 898552 997657 1797104 1995314 3594208 3990628 7188416 7981256 15962512 16960169 31925024 33920338 63850048 67840676 135681352 271362704 542725408 1085450816