Search a number
-
+
1105134520 = 235710736887
BaseRepresentation
bin100000111011111…
…0000001110111000
32212000111122120011
41001313300032320
54230403301040
6301354511304
736246326350
oct10167601670
92760448504
101105134520
11517901a16
1226a135534
13147c5aa69
14a6ab7b60
156704c3ea
hex41df03b8

1105134520 has 64 divisors (see below), whose sum is σ = 2868410880. Its totient is φ = 375351936.

The previous prime is 1105134509. The next prime is 1105134533. The reversal of 1105134520 is 254315011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1105134491 and 1105134500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11517 + ... + 48403.

It is an arithmetic number, because the mean of its divisors is an integer number (44818920).

Almost surely, 21105134520 is an apocalyptic number.

1105134520 is a gapful number since it is divisible by the number (10) 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 1105134520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434205440).

1105134520 is an abundant number, since it is smaller than the sum of its proper divisors (1763276360).

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

1105134520 is a wasteful number, since it uses less digits than its factorization.

1105134520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37012 (or 37008 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 1105134520 is about 33243.5635875578. The cubic root of 1105134520 is about 1033.8837631710.

Adding to 1105134520 its reverse (254315011), we get a palindrome (1359449531).

The spelling of 1105134520 in words is "one billion, one hundred five million, one hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 107 140 214 280 428 535 749 856 1070 1498 2140 2996 3745 4280 5992 7490 14980 29960 36887 73774 147548 184435 258209 295096 368870 516418 737740 1032836 1291045 1475480 2065672 2582090 3946909 5164180 7893818 10328360 15787636 19734545 27628363 31575272 39469090 55256726 78938180 110513452 138141815 157876360 221026904 276283630 552567260 1105134520