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11380124 = 2272341431
BaseRepresentation
bin101011011010…
…010110011100
3210102011121002
4223122112130
510403130444
61043525432
7165505130
oct53322634
923364532
1011380124
116473068
123989878
132485b02
1417233c0
15eebd4e
hexada59c

11380124 has 48 divisors (see below), whose sum is σ = 24385536. Its totient is φ = 4540800.

The previous prime is 11380121. The next prime is 11380133. The reversal of 11380124 is 42108311.

It is a junction number, because it is equal to n+sod(n) for n = 11380096 and 11380105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11380121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26189 + ... + 26619.

It is an arithmetic number, because the mean of its divisors is an integer number (508032).

Almost surely, 211380124 is an apocalyptic number.

11380124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11380124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12192768).

11380124 is an abundant number, since it is smaller than the sum of its proper divisors (13005412).

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

11380124 is a wasteful number, since it uses less digits than its factorization.

11380124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 11380124 is about 3373.4439375807. The cubic root of 11380124 is about 224.9308363549.

Adding to 11380124 its reverse (42108311), we get a palindrome (53488435).

The spelling of 11380124 in words is "eleven million, three hundred eighty thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 41 46 82 92 161 164 287 322 431 574 644 862 943 1148 1724 1886 3017 3772 6034 6601 9913 12068 13202 17671 19826 26404 35342 39652 69391 70684 123697 138782 247394 277564 406433 494788 812866 1625732 2845031 5690062 11380124