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11408124 = 22371331337
BaseRepresentation
bin101011100001…
…001011111100
3210110121000010
4223201023330
510410024444
61044303220
7165652560
oct53411374
923417003
1011408124
116492102
1239a1b10
132495790
14172d6a0
1510052b9
hexae12fc

11408124 has 96 divisors (see below), whose sum is σ = 33918976. Its totient is φ = 2903040.

The previous prime is 11408123. The next prime is 11408129. The reversal of 11408124 is 42180411.

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 11408124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11408123) 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 31 ways as a sum of consecutive naturals, for example, 33684 + ... + 34020.

Almost surely, 211408124 is an apocalyptic number.

11408124 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 11408124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16959488).

11408124 is an abundant number, since it is smaller than the sum of its proper divisors (22510852).

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

11408124 is a wasteful number, since it uses less digits than its factorization.

11408124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 11408124 is about 3377.5914495392. The cubic root of 11408124 is about 225.1151608008.

Adding to 11408124 its reverse (42180411), we get a palindrome (53588535).

The spelling of 11408124 in words is "eleven million, four hundred eight thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 52 62 78 84 91 93 124 156 182 186 217 273 337 364 372 403 434 546 651 674 806 868 1011 1092 1209 1302 1348 1612 2022 2359 2418 2604 2821 4044 4381 4718 4836 5642 7077 8463 8762 9436 10447 11284 13143 14154 16926 17524 20894 26286 28308 30667 31341 33852 41788 52572 61334 62682 73129 92001 122668 125364 135811 146258 184002 219387 271622 292516 368004 407433 438774 543244 814866 877548 950677 1629732 1901354 2852031 3802708 5704062 11408124