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11140224 = 27367433
BaseRepresentation
bin101010011111…
…110010000000
3202221222111220
4222133302000
510322441344
61034435040
7163455534
oct52376200
922858456
1011140224
1163198a7
123892a80
132400864
14169dbc4
15ea0c19
hexa9fc80

11140224 has 64 divisors (see below), whose sum is σ = 30102240. Its totient is φ = 3649536.

The previous prime is 11140193. The next prime is 11140231. The reversal of 11140224 is 42204111.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25512 + ... + 25944.

Almost surely, 211140224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15051120).

11140224 is an abundant number, since it is smaller than the sum of its proper divisors (18962016).

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

11140224 is an equidigital number, since it uses as much as digits as its factorization.

11140224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 11140224 is about 3337.6974098920. The cubic root of 11140224 is about 223.3390379969.

Adding to 11140224 its reverse (42204111), we get a palindrome (53344335).

The spelling of 11140224 in words is "eleven million, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 268 384 402 433 536 804 866 1072 1299 1608 1732 2144 2598 3216 3464 4288 5196 6432 6928 8576 10392 12864 13856 20784 25728 27712 29011 41568 55424 58022 83136 87033 116044 166272 174066 232088 348132 464176 696264 928352 1392528 1856704 2785056 3713408 5570112 11140224