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11214104 = 2311192353
BaseRepresentation
bin101010110001…
…110100011000
3210002201212012
4222301310120
510332322404
61040205052
7164214116
oct52616430
923081765
1011214104
11636a360
123909788
132428385
1416bcab6
15eb7a6e
hexab1d18

11214104 has 48 divisors (see below), whose sum is σ = 24277320. Its totient is φ = 4815360.

The previous prime is 11214061. The next prime is 11214107. The reversal of 11214104 is 40141211.

It is a super-2 number, since 2×112141042 = 251512257045632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11214107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 31592 + ... + 31944.

Almost surely, 211214104 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 11214104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12138660).

11214104 is an abundant number, since it is smaller than the sum of its proper divisors (13063216).

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

11214104 is a wasteful number, since it uses less digits than its factorization.

11214104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 11214104 is about 3348.7466312040. The cubic root of 11214104 is about 223.8316656215.

Adding to 11214104 its reverse (40141211), we get a palindrome (51355315).

It can be divided in two parts, 1121 and 4104, that added together give a palindrome (5225).

The spelling of 11214104 in words is "eleven million, two hundred fourteen thousand, one hundred four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 353 361 418 706 722 836 1412 1444 1672 2824 2888 3883 3971 6707 7766 7942 13414 15532 15884 26828 31064 31768 53656 73777 127433 147554 254866 295108 509732 590216 1019464 1401763 2803526 5607052 11214104