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11130144 = 253269431
BaseRepresentation
bin101010011101…
…010100100000
3202221110200120
4222131110200
510322131034
61034320240
7163414254
oct52352440
922843616
1011130144
116312273
123889080
1323c90ac
14169a264
15e9cc49
hexa9d520

11130144 has 48 divisors (see below), whose sum is σ = 29393280. Its totient is φ = 3687680.

The previous prime is 11130139. The next prime is 11130157. The reversal of 11130144 is 44103111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25609 + ... + 26039.

It is an arithmetic number, because the mean of its divisors is an integer number (612360).

Almost surely, 211130144 is an apocalyptic number.

It is an amenable number.

11130144 is an abundant number, since it is smaller than the sum of its proper divisors (18263136).

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

11130144 is a wasteful number, since it uses less digits than its factorization.

11130144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11130144 is about 3336.1870451160. The cubic root of 11130144 is about 223.2716564420.

Adding to 11130144 its reverse (44103111), we get a palindrome (55233255).

The spelling of 11130144 in words is "eleven million, one hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 269 431 538 807 862 1076 1293 1614 1724 2152 2586 3228 3448 4304 5172 6456 6896 8608 10344 12912 13792 20688 25824 41376 115939 231878 347817 463756 695634 927512 1391268 1855024 2782536 3710048 5565072 11130144