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1105120416 = 25388313037
BaseRepresentation
bin100000111011110…
…1100110010100000
32212000110221012210
41001313230302200
54230402323131
6301354322120
736246240261
oct10167546240
92760427183
101105120416
115178a2364
1226a129340
13147c5450a
14a6ab2968
1567048146
hex41decca0

1105120416 has 48 divisors (see below), whose sum is σ = 2904449184. Its totient is φ = 367928064.

The previous prime is 1105120409. The next prime is 1105120417. The reversal of 1105120416 is 6140215011.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×11051204162 = 2442582267720026112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1105120392 and 1105120401.

It is not an unprimeable number, because it can be changed into a prime (1105120417) 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, 78250 + ... + 91286.

It is an arithmetic number, because the mean of its divisors is an integer number (60509358).

Almost surely, 21105120416 is an apocalyptic number.

1105120416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1105120416 is an abundant number, since it is smaller than the sum of its proper divisors (1799328768).

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

1105120416 is a wasteful number, since it uses less digits than its factorization.

1105120416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13933 (or 13925 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 1105120416 is about 33243.3514555918. The cubic root of 1105120416 is about 1033.8793649255.

Adding to 1105120416 its reverse (6140215011), we get a palindrome (7245335427).

The spelling of 1105120416 in words is "one billion, one hundred five million, one hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 883 1766 2649 3532 5298 7064 10596 13037 14128 21192 26074 28256 39111 42384 52148 78222 84768 104296 156444 208592 312888 417184 625776 1251552 11511671 23023342 34535013 46046684 69070026 92093368 138140052 184186736 276280104 368373472 552560208 1105120416