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11052672 = 273107269
BaseRepresentation
bin101010001010…
…011010000000
3202210112102020
4222022122000
510312141142
61032521440
7162642351
oct52123200
922715366
1011052672
11626a044
123850280
13239ca57
141679d28
15e84cec
hexa8a680

11052672 has 64 divisors (see below), whose sum is σ = 29743200. Its totient is φ = 3636224.

The previous prime is 11052649. The next prime is 11052689. The reversal of 11052672 is 27625011.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 40954 + ... + 41222.

Almost surely, 211052672 is an apocalyptic number.

11052672 is a gapful number since it is divisible by the number (12) 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 11052672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14871600).

11052672 is an abundant number, since it is smaller than the sum of its proper divisors (18690528).

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

11052672 is a wasteful number, since it uses less digits than its factorization.

11052672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 11052672 is about 3324.5559101931. Note that the first 3 decimals coincide. The cubic root of 11052672 is about 222.7524181573.

Adding to 11052672 its reverse (27625011), we get a palindrome (38677683).

The spelling of 11052672 in words is "eleven million, fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 269 321 384 428 538 642 807 856 1076 1284 1614 1712 2152 2568 3228 3424 4304 5136 6456 6848 8608 10272 12912 13696 17216 20544 25824 28783 34432 41088 51648 57566 86349 103296 115132 172698 230264 345396 460528 690792 921056 1381584 1842112 2763168 3684224 5526336 11052672