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11268192 = 253139029
BaseRepresentation
bin101010111111…
…000001100000
3210012111001110
4222333001200
510341040232
61041303320
7164530605
oct52770140
923174043
1011268192
1163a6a61
123934b40
132446b90
1416d46ac
15ec8acc
hexabf060

11268192 has 48 divisors (see below), whose sum is σ = 31857840. Its totient is φ = 3466752.

The previous prime is 11268119. The next prime is 11268209. The reversal of 11268192 is 29186211.

It is a happy number.

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

It is a congruent number.

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, 3267 + ... + 5762.

It is an arithmetic number, because the mean of its divisors is an integer number (663705).

Almost surely, 211268192 is an apocalyptic number.

11268192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11268192 is an abundant number, since it is smaller than the sum of its proper divisors (20589648).

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

11268192 is a wasteful number, since it uses less digits than its factorization.

11268192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9055 (or 9047 counting only the distinct ones).

The product of its digits is 1728, while the sum is 30.

The square root of 11268192 is about 3356.8127740462. The cubic root of 11268192 is about 224.1909511211.

The spelling of 11268192 in words is "eleven million, two hundred sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 9029 18058 27087 36116 54174 72232 108348 117377 144464 216696 234754 288928 352131 433392 469508 704262 866784 939016 1408524 1878032 2817048 3756064 5634096 11268192