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1106959968 = 25323843611
BaseRepresentation
bin100000111111010…
…1101111001100000
32212010221101121100
41001332231321200
54231340204333
6301501554400
736301001352
oct10176557140
92763841540
101106959968
11518939454
1226a875a00
131484498ca
14a70310d2
15672ad213
hex41fade60

1106959968 has 36 divisors (see below), whose sum is σ = 3147918228. Its totient is φ = 368986560.

The previous prime is 1106959937. The next prime is 1106959979. The reversal of 1106959968 is 8699596011.

1106959968 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×11069599682 = 2450720741509122048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1921518 + ... + 1922093.

It is an arithmetic number, because the mean of its divisors is an integer number (87442173).

Almost surely, 21106959968 is an apocalyptic number.

1106959968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1106959968 is an abundant number, since it is smaller than the sum of its proper divisors (2040958260).

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

1106959968 is a wasteful number, since it uses less digits than its factorization.

1106959968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3843627 (or 3843616 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The square root of 1106959968 is about 33271.0079198091. The cubic root of 1106959968 is about 1034.4527023139.

The spelling of 1106959968 in words is "one billion, one hundred six million, nine hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3843611 7687222 11530833 15374444 23061666 30748888 34592499 46123332 61497776 69184998 92246664 122995552 138369996 184493328 276739992 368986656 553479984 1106959968