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11219124 = 2237235807
BaseRepresentation
bin101010110011…
…000010110100
3210002222202010
4222303002310
510333002444
61040244220
7164234550
oct52630264
923088663
1011219124
116373104
123910670
13242a747
1416c0860
15eb92b9
hexab30b4

11219124 has 48 divisors (see below), whose sum is σ = 31223808. Its totient is φ = 3065568.

The previous prime is 11219123. The next prime is 11219137. The reversal of 11219124 is 42191211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 11219124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11219123) 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 15 ways as a sum of consecutive naturals, for example, 972 + ... + 4835.

It is an arithmetic number, because the mean of its divisors is an integer number (650496).

Almost surely, 211219124 is an apocalyptic number.

11219124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11219124 is an abundant number, since it is smaller than the sum of its proper divisors (20004684).

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

11219124 is a wasteful number, since it uses less digits than its factorization.

11219124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844 (or 5842 counting only the distinct ones).

The product of its digits is 144, while the sum is 21.

The square root of 11219124 is about 3349.4960815024. The cubic root of 11219124 is about 223.8650600962.

The spelling of 11219124 in words is "eleven million, two hundred nineteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 5807 11614 17421 23228 34842 40649 69684 81298 121947 133561 162596 243894 267122 400683 487788 534244 801366 934927 1602732 1869854 2804781 3739708 5609562 11219124