[go: up one dir, main page]

Search a number
-
+
1135452114 = 233411074793
BaseRepresentation
bin100001110101101…
…1001111111010010
32221010112221111000
41003223121333102
54311133431424
6304400402430
740065120006
oct10353317722
92833487430
101135452114
11532a29a85
12278316416
13151314474
14aab2a706
1569a3a3c9
hex43ad9fd2

1135452114 has 64 divisors (see below), whose sum is σ = 2609470080. Its totient is φ = 365725440.

The previous prime is 1135452113. The next prime is 1135452119. The reversal of 1135452114 is 4112545311.

1135452114 is a `hidden beast` number, since 1 + 1 + 3 + 545 + 2 + 114 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1135452113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234502 + ... + 239294.

It is an arithmetic number, because the mean of its divisors is an integer number (40772970).

Almost surely, 21135452114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1135452114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304735040).

1135452114 is an abundant number, since it is smaller than the sum of its proper divisors (1474017966).

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

1135452114 is a wasteful number, since it uses less digits than its factorization.

1135452114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4952 (or 4946 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 1135452114 is about 33696.4703492814. The cubic root of 1135452114 is about 1043.2529170963.

Adding to 1135452114 its reverse (4112545311), we get a palindrome (5247997425).

The spelling of 1135452114 in words is "one billion, one hundred thirty-five million, four hundred fifty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 41 54 82 107 123 214 246 321 369 642 738 963 1107 1926 2214 2889 4387 4793 5778 8774 9586 13161 14379 26322 28758 39483 43137 78966 86274 118449 129411 196513 236898 258822 393026 512851 589539 1025702 1179078 1538553 1768617 3077106 3537234 4615659 5305851 9231318 10611702 13846977 21026891 27693954 42053782 63080673 126161346 189242019 378484038 567726057 1135452114