Search a number
-
+
1105067424 = 25341280759
BaseRepresentation
bin100000111011101…
…1111110110100000
32212000101020112010
41001313133312200
54230344124144
6301353232520
736245626626
oct10167376640
92760336463
101105067424
1151786656a
1226a102740
13147c36366
14a6a9b516
15670375b9
hex41ddfda0

1105067424 has 48 divisors (see below), whose sum is σ = 2971563840. Its totient is φ = 359370240.

The previous prime is 1105067423. The next prime is 1105067441. The reversal of 1105067424 is 4247605011.

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

It is a junction number, because it is equal to n+sod(n) for n = 1105067391 and 1105067400.

It is not an unprimeable number, because it can be changed into a prime (1105067423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136444 + ... + 144315.

It is an arithmetic number, because the mean of its divisors is an integer number (61907580).

Almost surely, 21105067424 is an apocalyptic number.

It is an amenable number.

1105067424 is an abundant number, since it is smaller than the sum of its proper divisors (1866496416).

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

1105067424 is a wasteful number, since it uses less digits than its factorization.

1105067424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280813 (or 280805 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 1105067424 is about 33242.5544144851. The cubic root of 1105067424 is about 1033.8628393626.

The spelling of 1105067424 in words is "one billion, one hundred five million, sixty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 280759 561518 842277 1123036 1684554 2246072 3369108 4492144 6738216 8984288 11511119 13476432 23022238 26952864 34533357 46044476 69066714 92088952 138133428 184177904 276266856 368355808 552533712 1105067424