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1089760896 = 27327672017
BaseRepresentation
bin100000011110100…
…0110111010000000
32210221120120220200
41000331012322000
54212434322041
6300045205200
736001546320
oct10075067200
92727516820
101089760896
1150a161544
12264b60800
13144a07343
14a4a35280
1565a121b6
hex40f46e80

1089760896 has 192 divisors, whose sum is σ = 3639180480. Its totient is φ = 306561024.

The previous prime is 1089760831. The next prime is 1089760933. The reversal of 1089760896 is 6980679801.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 539280 + ... + 541296.

It is an arithmetic number, because the mean of its divisors is an integer number (18954065).

Almost surely, 21089760896 is an apocalyptic number.

1089760896 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 1089760896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819590240).

1089760896 is an abundant number, since it is smaller than the sum of its proper divisors (2549419584).

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

1089760896 is a wasteful number, since it uses less digits than its factorization.

1089760896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 1089760896 is about 33011.5267141646. The cubic root of 1089760896 is about 1029.0672096677.

The spelling of 1089760896 in words is "one billion, eighty-nine million, seven hundred sixty thousand, eight hundred ninety-six".