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11302112 = 251929641
BaseRepresentation
bin101011000111…
…010011100000
3210021012120202
4223013103200
510343131422
61042124332
7165031523
oct53072340
923235522
1011302112
11641a498
1239506a8
132459453
141702bba
15ed3b92
hexac74e0

11302112 has 48 divisors (see below), whose sum is σ = 24267600. Its totient is φ = 5160960.

The previous prime is 11302063. The next prime is 11302121. The reversal of 11302112 is 21120311.

It is a junction number, because it is equal to n+sod(n) for n = 11302093 and 11302102.

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, 17312 + ... + 17952.

It is an arithmetic number, because the mean of its divisors is an integer number (505575).

Almost surely, 211302112 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 11302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12133800).

11302112 is an abundant number, since it is smaller than the sum of its proper divisors (12965488).

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

11302112 is a wasteful number, since it uses less digits than its factorization.

11302112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 11302112 is about 3361.8613891712. The cubic root of 11302112 is about 224.4156822129.

Adding to 11302112 its reverse (21120311), we get a palindrome (32422423).

The spelling of 11302112 in words is "eleven million, three hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 29 32 38 58 76 116 152 232 304 464 551 608 641 928 1102 1282 2204 2564 4408 5128 8816 10256 12179 17632 18589 20512 24358 37178 48716 74356 97432 148712 194864 297424 353191 389728 594848 706382 1412764 2825528 5651056 11302112